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10101332120 = 2351147488459
BaseRepresentation
bin10010110100001011…
…00001100010011000
3222001222102211122212
421122011201202120
5131141420111440
64350202334252
7505214622605
oct113205414230
928058384585
1010101332120
114313a36370
121b5aaba388
13c4c9a93c9
146bb7bd6ac
153e1c27465
hex25a161898

10101332120 has 64 divisors (see below), whose sum is σ = 25321766400. Its totient is φ = 3595050880.

The previous prime is 10101332107. The next prime is 10101332203. The reversal of 10101332120 is 2123310101.

It is a junction number, because it is equal to n+sod(n) for n = 10101332095 and 10101332104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223550 + ... + 264909.

It is an arithmetic number, because the mean of its divisors is an integer number (395652600).

Almost surely, 210101332120 is an apocalyptic number.

10101332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101332120 is an abundant number, since it is smaller than the sum of its proper divisors (15220434280).

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

10101332120 is a wasteful number, since it uses less digits than its factorization.

10101332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488528 (or 488524 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10101332120 its reverse (2123310101), we get a palindrome (12224642221).

The spelling of 10101332120 in words is "ten billion, one hundred one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 20680 488459 976918 1953836 2442295 3907672 4884590 5373049 9769180 10746098 19538360 21492196 22957573 26865245 42984392 45915146 53730490 91830292 107460980 114787865 183660584 214921960 229575730 252533303 459151460 505066606 918302920 1010133212 1262666515 2020266424 2525333030 5050666060 10101332120