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10132231313322 = 23217160972057021
BaseRepresentation
bin1001001101110001100000…
…0011000101011110101010
31022212122001121202221220100
42103130120003011132222
52312001302204011242
633314403253010230
72064013065066306
oct223343003053652
938778047687810
1010132231313322
11325706747a948
12117783b923976
135866083a63a1
1427058caa6d06
15128868b0b54c
hex937180c57aa

10132231313322 has 48 divisors (see below), whose sum is σ = 23245985989512. Its totient is φ = 3178540216320.

The previous prime is 10132231313311. The next prime is 10132231313333. The reversal of 10132231313322 is 22331313223101.

10132231313322 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 23 + 1 + 313 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (10132231313311) and next prime (10132231313333).

It can be written as a sum of positive squares in 4 ways, for example, as 9398829194001 + 733402119321 = 3065751^2 + 856389^2 .

It is a super-2 number, since 2×101322313133222 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3897172 + ... + 5954192.

Almost surely, 210132231313322 is an apocalyptic number.

10132231313322 is an abundant number, since it is smaller than the sum of its proper divisors (13113754676190).

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

10132231313322 is a wasteful number, since it uses less digits than its factorization.

10132231313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073143 (or 2073140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10132231313322 its reverse (22331313223101), we get a palindrome (32463544536423).

The spelling of 10132231313322 in words is "ten trillion, one hundred thirty-two billion, two hundred thirty-one million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 16097 32194 48291 96582 144873 273649 289746 547298 820947 1641894 2057021 2462841 4114042 4925682 6171063 12342126 18513189 34969357 37026378 69938714 104908071 209816142 314724213 629448426 33111867037 66223734074 99335601111 198671202222 298006803333 562901739629 596013606666 1125803479258 1688705218887 3377410437774 5066115656661 10132231313322