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103332212130 = 235737103112899
BaseRepresentation
bin110000000111100010…
…1000110110110100010
3100212201101210020221210
41200033011012312202
53143111021242010
6115245315530550
710315445211450
oct1401705066642
9325641706853
10103332212130
113a906381424
12180398b9a56
139989c8c8b4
1450038239d0
152a4ba51b20
hex180f146da2

103332212130 has 128 divisors (see below), whose sum is σ = 291390566400. Its totient is φ = 22956376320.

The previous prime is 103332212107. The next prime is 103332212149. The reversal of 103332212130 is 31212233301.

103332212130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103332212097 and 103332212106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8004421 + ... + 8017319.

It is an arithmetic number, because the mean of its divisors is an integer number (2276488800).

Almost surely, 2103332212130 is an apocalyptic number.

103332212130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103332212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145695283200).

103332212130 is an abundant number, since it is smaller than the sum of its proper divisors (188058354270).

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

103332212130 is a wasteful number, since it uses less digits than its factorization.

103332212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13984.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103332212130 its reverse (31212233301), we get a palindrome (134544445431).

It can be divided in two parts, 103 and 332212130, that added together give a palindrome (332212233).

The spelling of 103332212130 in words is "one hundred three billion, three hundred thirty-two million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1031 1110 1295 1554 2062 2590 3093 3885 5155 6186 7217 7770 10310 12899 14434 15465 21651 25798 30930 36085 38147 38697 43302 64495 72170 76294 77394 90293 108255 114441 128990 180586 190735 193485 216510 228882 267029 270879 381470 386970 451465 477263 534058 541758 572205 801087 902930 954526 1144410 1335145 1354395 1431789 1602174 2386315 2670290 2708790 2863578 3340841 4005435 4772630 6681682 7158945 8010870 10022523 13298869 14317890 16704205 20045046 26597738 33408410 39896607 50112615 66494345 79793214 93092083 100225230 132988690 186184166 199483035 279276249 398966070 465460415 492058153 558552498 930920830 984116306 1396381245 1476174459 2460290765 2792762490 2952348918 3444407071 4920581530 6888814142 7380872295 10333221213 14761744590 17222035355 20666442426 34444070710 51666106065 103332212130