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2120301003120 = 2435211130132183
BaseRepresentation
bin11110110110101011110…
…010011100000101110000
321111200212102102000010020
4132312223302130011300
5234214334024044440
64302015225003440
7306121015105416
oct36665362340560
97450772360106
102120301003120
1174823a705013
122a2b18623580
13124c35c0aca1
14748a1b8b2b6
153a2495de3d0
hex1edabc9c170

2120301003120 has 160 divisors (see below), whose sum is σ = 6609365973504. Its totient is φ = 562283904000.

The previous prime is 2120301003113. The next prime is 2120301003127. The reversal of 2120301003120 is 213001030212.

It is an interprime number because it is at equal distance from previous prime (2120301003113) and next prime (2120301003127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120301003120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120301003127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65866549 + ... + 65898731.

Almost surely, 22120301003120 is an apocalyptic number.

2120301003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120301003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304682986752).

2120301003120 is an abundant number, since it is smaller than the sum of its proper divisors (4489064970384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120301003120 is a wasteful number, since it uses less digits than its factorization.

2120301003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33711 (or 33705 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2120301003120 its reverse (213001030212), we get a palindrome (2333302033332).

The spelling of 2120301003120 in words is "two trillion, one hundred twenty billion, three hundred one million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1301 1688 2110 2532 2602 3165 3376 3903 4220 5064 5204 6330 6505 7806 8440 10128 10408 12660 13010 15612 16880 19515 20816 25320 26020 31224 32183 39030 50640 52040 62448 64366 78060 96549 104080 128732 156120 160915 193098 257464 274511 312240 321830 386196 482745 514928 549022 643660 772392 823533 965490 1098044 1287320 1372555 1544784 1647066 1930980 2196088 2574640 2745110 3294132 3861960 4117665 4392176 5490220 6588264 6790613 7723920 8235330 10980440 13176528 13581226 16470660 20371839 21960880 27162452 32941320 33953065 40743678 41870083 54324904 65882640 67906130 81487356 83740166 101859195 108649808 125610249 135812260 162974712 167480332 203718390 209350415 251220498 271624520 325949424 334960664 407436780 418700830 502440996 543249040 628051245 669921328 814873560 837401660 1004881992 1256102490 1629747120 1674803320 2009763984 2512204980 3349606640 5024409960 8834587513 10048819920 17669175026 26503762539 35338350052 44172937565 53007525078 70676700104 88345875130 106015050156 132518812695 141353400208 176691750260 212030100312 265037625390 353383500520 424060200624 530075250780 706767001040 1060150501560 2120301003120