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10213341303120 = 24351011361309583
BaseRepresentation
bin1001010010011111101010…
…0101001001000101010000
31100011101102022112100122120
42110213322211021011100
52314313410333144440
633415535541334240
72102614055451624
oct224477245110520
940141368470576
1010213341303120
1132884a99a476a
12118b4b7407380
13591163478ba7
14274485021184
1512aa14785dd0
hex949fa949150

10213341303120 has 160 divisors (see below), whose sum is σ = 31998433826304. Its totient is φ = 2694601728000.

The previous prime is 10213341303073. The next prime is 10213341303133. The reversal of 10213341303120 is 2130314331201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32835849 + ... + 33145431.

Almost surely, 210213341303120 is an apocalyptic number.

10213341303120 is a gapful number since it is divisible by the number (10) 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 10213341303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999216913152).

10213341303120 is an abundant number, since it is smaller than the sum of its proper divisors (21785092523184).

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

10213341303120 is a wasteful number, since it uses less digits than its factorization.

10213341303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311061 (or 311055 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10213341303120 its reverse (2130314331201), we get a palindrome (12343655634321).

The spelling of 10213341303120 in words is "ten trillion, two hundred thirteen billion, three hundred forty-one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1361 1515 1616 2020 2424 2722 3030 4040 4083 4848 5444 6060 6805 8080 8166 10888 12120 13610 16332 20415 21776 24240 27220 32664 40830 54440 65328 81660 108880 137461 163320 274922 309583 326640 412383 549844 619166 687305 824766 928749 1099688 1238332 1374610 1547915 1649532 1857498 2061915 2199376 2476664 2749220 3095830 3299064 3714996 4123830 4643745 4953328 5498440 6191660 6598128 7429992 8247660 9287490 10996880 12383320 14859984 16495320 18574980 24766640 31267883 32990640 37149960 62535766 74299920 93803649 125071532 156339415 187607298 250143064 312678830 375214596 421342463 469018245 500286128 625357660 750429192 842684926 938036490 1250715320 1264027389 1500858384 1685369852 1876072980 2106712315 2501430640 2528054778 3370739704 3752145960 4213424630 5056109556 6320136945 6741479408 7504291920 8426849260 10112219112 12640273890 16853698520 20224438224 25280547780 33707397040 42555588763 50561095560 85111177526 101122191120 127666766289 170222355052 212777943815 255333532578 340444710104 425555887630 510667065156 638333831445 680889420208 851111775260 1021334130312 1276667662890 1702223550520 2042668260624 2553335325780 3404447101040 5106670651560 10213341303120