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10231121322 = 23217431973947
BaseRepresentation
bin10011000011101001…
…01000010110101010
3222102000122210222100
421201310220112222
5131423131340242
64411120234230
7511352045022
oct114164502652
928360583870
1010231121322
114380223974
121b9646b976
13c7084cc56
146d0b26a82
153ed31354c
hex261d285aa

10231121322 has 96 divisors (see below), whose sum is σ = 24145273152. Its totient is φ = 3118413312.

The previous prime is 10231121309. The next prime is 10231121333. The reversal of 10231121322 is 22312113201.

10231121322 is a `hidden beast` number, since 10 + 2 + 311 + 21 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10231121295 and 10231121304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2590153 + ... + 2594099.

It is an arithmetic number, because the mean of its divisors is an integer number (251513262).

Almost surely, 210231121322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231121322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072636576).

10231121322 is an abundant number, since it is smaller than the sum of its proper divisors (13914151830).

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

10231121322 is a wasteful number, since it uses less digits than its factorization.

10231121322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10231121322 its reverse (22312113201), we get a palindrome (32543234523).

The spelling of 10231121322 in words is "ten billion, two hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 197 258 306 387 394 591 731 774 1182 1462 1773 2193 3349 3546 3947 4386 6579 6698 7894 8471 10047 11841 13158 16942 20094 23682 25413 30141 35523 50826 60282 67099 71046 76239 134198 144007 152478 169721 201297 288014 339442 402594 432021 509163 603891 777559 864042 1018326 1207782 1296063 1527489 1555118 2332677 2592126 2885257 3054978 4665354 5770514 6998031 8655771 13218503 13996062 17311542 25967313 26437006 33435037 39655509 51934626 66870074 79311018 100305111 118966527 200610222 237933054 300915333 568395629 601830666 1136791258 1705186887 3410373774 5115560661 10231121322