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10311912 = 23321323479
BaseRepresentation
bin100111010101…
…100011101000
3201101220021200
4213111203220
510114440122
61005004200
7153435612
oct47254350
921356250
1010311912
115903546
123553660
1321a0830
141525db2
15d8a5ac
hex9d58e8

10311912 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3028608.

The previous prime is 10311901. The next prime is 10311913. The reversal of 10311912 is 21911301.

10311912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10311913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21289 + ... + 21767.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 210311912 is an apocalyptic number.

10311912 is a gapful number since it is divisible by the number (12) 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 10311912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10311912 is an abundant number, since it is smaller than the sum of its proper divisors (21137688).

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

10311912 is a wasteful number, since it uses less digits than its factorization.

10311912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10311912 is about 3211.2165918854. The cubic root of 10311912 is about 217.6605552524.

The spelling of 10311912 in words is "ten million, three hundred eleven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 479 552 598 828 897 936 958 1196 1437 1656 1794 1916 2392 2691 2874 3588 3832 4311 5382 5748 6227 7176 8622 10764 11017 11496 12454 17244 18681 21528 22034 24908 33051 34488 37362 44068 49816 56043 66102 74724 88136 99153 112086 132204 143221 149448 198306 224172 264408 286442 396612 429663 448344 572884 793224 859326 1145768 1288989 1718652 2577978 3437304 5155956 10311912