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10231070256 = 24331111291907
BaseRepresentation
bin10011000011101000…
…11011111000110000
3222102000120012221000
421201310123320300
5131423123222011
64411115202000
7511351443111
oct114164337060
928360505830
1010231070256
114380199570
121b96446300
13c70832934
146d0b12208
153ed303356
hex261d1be30

10231070256 has 160 divisors (see below), whose sum is σ = 32081875200. Its totient is φ = 3095953920.

The previous prime is 10231070221. The next prime is 10231070257. The reversal of 10231070256 is 65207013201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10231070257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5364055 + ... + 5365961.

It is an arithmetic number, because the mean of its divisors is an integer number (200511720).

Almost surely, 210231070256 is an apocalyptic number.

10231070256 is a gapful number since it is divisible by the number (16) 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 10231070256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040937600).

10231070256 is an abundant number, since it is smaller than the sum of its proper divisors (21850804944).

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

10231070256 is a wasteful number, since it uses less digits than its factorization.

10231070256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10231070256 its reverse (65207013201), we get a palindrome (75438083457).

The spelling of 10231070256 in words is "ten billion, two hundred thirty-one million, seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1129 1188 1584 1907 2258 2376 3387 3814 4516 4752 5721 6774 7628 9032 10161 11442 12419 13548 15256 17163 18064 20322 20977 22884 24838 27096 30483 30512 34326 37257 40644 41954 45768 49676 51489 54192 60966 62931 68652 74514 81288 83908 91536 99352 102978 111771 121932 125862 137304 149028 162576 167816 188793 198704 205956 223542 243864 251724 274608 298056 335313 335632 377586 411912 447084 487728 503448 566379 596112 670626 755172 823824 894168 1006896 1132758 1341252 1510344 1788336 2153003 2265516 2682504 3020688 4306006 4531032 5365008 6459009 8612012 9062064 12918018 17224024 19377027 23683033 25836036 34448048 38754054 47366066 51672072 58131081 71049099 77508108 94732132 103344144 116262162 142098198 155016216 189464264 213147297 232524324 284196396 310032432 378928528 426294594 465048648 568392792 639441891 852589188 930097296 1136785584 1278883782 1705178376 2557767564 3410356752 5115535128 10231070256