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10312235164 = 227112291031019
BaseRepresentation
bin10011001101010100…
…00011100010011100
3222121200021211020201
421212222003202130
5132104413011124
64423134553244
7513355360360
oct114652034234
928550254221
1010312235164
114411a95a00
121bb9668824
13c845b02ca
146db7dd2a0
154054d7144
hex266a8389c

10312235164 has 144 divisors (see below), whose sum is σ = 23702515200. Its totient is φ = 3837778560.

The previous prime is 10312235149. The next prime is 10312235231. The reversal of 10312235164 is 46153221301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 10119447 + ... + 10120465.

It is an arithmetic number, because the mean of its divisors is an integer number (164600800).

Almost surely, 210312235164 is an apocalyptic number.

10312235164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312235164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851257600).

10312235164 is an abundant number, since it is smaller than the sum of its proper divisors (13390280036).

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

10312235164 is a wasteful number, since it uses less digits than its factorization.

10312235164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 10312235164 its reverse (46153221301), we get a palindrome (56465456465).

The spelling of 10312235164 in words is "ten billion, three hundred twelve million, two hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 103 116 121 154 203 206 242 308 319 406 412 484 638 721 812 847 1019 1133 1276 1442 1694 2038 2233 2266 2884 2987 3388 3509 4076 4466 4532 5974 7018 7133 7931 8932 11209 11948 12463 14036 14266 15862 20909 22418 24563 24926 28532 29551 31724 32857 41818 44836 49126 49852 59102 65714 78463 83636 87241 98252 104957 118204 123299 131428 156926 174482 206857 209914 229999 246598 313852 325061 348964 361427 413714 419828 459998 493196 650122 722854 734699 827428 863093 919996 1154527 1300244 1445708 1469398 1726186 2275427 2309054 2529989 2938796 3043753 3452372 3575671 4550854 4618108 5059978 6087506 7151342 8081689 9101708 10119956 12175012 12699797 14302684 16163378 21306271 25029697 25399594 32326756 33481283 42612542 50059394 50799188 66962566 85225084 88898579 100118788 133925132 177797158 234368981 355594316 368294113 468737962 736588226 937475924 1473176452 2578058791 5156117582 10312235164