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10313031312 = 2432372278527
BaseRepresentation
bin10011001101011010…
…00101111010010000
3222121201210021100200
421212231011322100
5132110114000222
64423204015200
7513365214453
oct114655057220
928551707320
1010313031312
11441248a081
121bb9991500
13c847cb7bc
146db96949a
154055e2eac
hex266b45e90

10313031312 has 120 divisors (see below), whose sum is σ = 29776296576. Its totient is φ = 3329641728.

The previous prime is 10313031293. The next prime is 10313031329. The reversal of 10313031312 is 21313031301.

It is a happy number.

10313031312 is a `hidden beast` number, since 10 + 313 + 0 + 31 + 312 = 666.

It is a super-2 number, since 2×103130313122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205193 + ... + 1213719.

Almost surely, 210313031312 is an apocalyptic number.

10313031312 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 10313031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888148288).

10313031312 is an abundant number, since it is smaller than the sum of its proper divisors (19463265264).

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

10313031312 is a wasteful number, since it uses less digits than its factorization.

10313031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8805 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10313031312 its reverse (21313031301), we get a palindrome (31626062613).

The spelling of 10313031312 in words is "ten billion, three hundred thirteen million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 227 296 333 444 454 592 666 681 888 908 1332 1362 1776 1816 2043 2664 2724 3632 4086 5328 5448 8172 8399 8527 10896 16344 16798 17054 25197 25581 32688 33596 34108 50394 51162 67192 68216 75591 76743 100788 102324 134384 136432 151182 153486 201576 204648 302364 306972 315499 403152 409296 604728 613944 630998 946497 1209456 1227888 1261996 1892994 1935629 2523992 2839491 3785988 3871258 5047984 5678982 5806887 7571976 7742516 11357964 11613774 15143952 15485032 17420661 22715928 23227548 30970064 34841322 45431856 46455096 69682644 71618273 92910192 139365288 143236546 214854819 278730576 286473092 429709638 572946184 644564457 859419276 1145892368 1289128914 1718838552 2578257828 3437677104 5156515656 10313031312