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10123211142 = 2331127512063
BaseRepresentation
bin10010110110110001…
…11111000110000110
3222010111121102001000
421123120333012012
5131213020224032
64352303314130
7505601606052
oct113330770606
928114542030
1010123211142
11432531a400
121b662ab946
13c54399b85
146c0676c62
153e3ae9e7c
hex25b63f186

10123211142 has 96 divisors (see below), whose sum is σ = 24771962880. Its totient is φ = 3062070000.

The previous prime is 10123211071. The next prime is 10123211143. The reversal of 10123211142 is 24111232101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123211143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4906003 + ... + 4908065.

It is an arithmetic number, because the mean of its divisors is an integer number (258041280).

Almost surely, 210123211142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123211142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385981440).

10123211142 is an abundant number, since it is smaller than the sum of its proper divisors (14648751738).

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

10123211142 is a wasteful number, since it uses less digits than its factorization.

10123211142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10123211142 its reverse (24111232101), we get a palindrome (34234443243).

The spelling of 10123211142 in words is "ten billion, one hundred twenty-three million, two hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 751 1089 1502 2063 2178 2253 3267 4126 4506 6189 6534 6759 8261 12378 13518 16522 18567 20277 22693 24783 37134 40554 45386 49566 55701 68079 74349 90871 111402 136158 148698 181742 204237 223047 249623 272613 408474 446094 499246 545226 612711 748869 817839 1225422 1497738 1549313 1635678 2246607 2453517 3098626 4493214 4647939 4907034 6739821 9295878 13479642 13943817 17042443 27887634 34084886 41831451 51127329 83662902 102254658 153381987 187466873 306763974 374933746 460145961 562400619 920291922 1124801238 1687201857 3374403714 5061605571 10123211142