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31011332112 = 243431771887
BaseRepresentation
bin11100111000011010…
…110110000000010000
32222001020021220020000
4130320122312000100
51002002400111422
622125120250000
72145326654655
oct347032660020
988036256200
1031011332112
11121740a78a2
126015770900
132c02a6c277
1417028a5c2c
15c177e7cac
hex7386b6010

31011332112 has 100 divisors (see below), whose sum is σ = 92651260416. Its totient is φ = 10003642560.

The previous prime is 31011332111. The next prime is 31011332113. The reversal of 31011332112 is 21123311013.

31011332112 is a `hidden beast` number, since 310 + 11 + 332 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (31011332111) and next prime (31011332113).

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 (31011332111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 345768 + ... + 426119.

Almost surely, 231011332112 is an apocalyptic number.

It is an amenable number.

31011332112 is an abundant number, since it is smaller than the sum of its proper divisors (61639928304).

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

31011332112 is a wasteful number, since it uses less digits than its factorization.

31011332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771938 (or 771923 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31011332112 its reverse (21123311013), we get a palindrome (52134643125).

It can be divided in two parts, 310113 and 32112, that added together give a square (342225 = 5852).

The spelling of 31011332112 in words is "thirty-one billion, eleven million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 13392 20088 40176 771887 1543774 2315661 3087548 4631322 6175096 6946983 9262644 12350192 13893966 18525288 20840949 23928497 27787932 37050576 41681898 47856994 55575864 62522847 71785491 83363796 95713988 111151728 125045694 143570982 166727592 191427976 215356473 250091388 287141964 333455184 382855952 430712946 500182776 574283928 646069419 861425892 1000365552 1148567856 1292138838 1722851784 1938208257 2584277676 3445703568 3876416514 5168555352 7752833028 10337110704 15505666056 31011332112