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31132010112 = 273719609571
BaseRepresentation
bin11100111111100111…
…001100011010000000
32222100122100222022120
4130333213030122000
51002224243310422
622145111004240
72151323501610
oct347747143200
988318328276
1031132010112
1112226231a85
12604a069680
132c21a72978
14171491aa40
15c231d445c
hex73f9cc680

31132010112 has 128 divisors (see below), whose sum is σ = 99482150400. Its totient is φ = 8426695680.

The previous prime is 31132010027. The next prime is 31132010137. The reversal of 31132010112 is 21101023113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×311320101122 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31132010091 and 31132010100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253714 + ... + 355857.

It is an arithmetic number, because the mean of its divisors is an integer number (777204300).

Almost surely, 231132010112 is an apocalyptic number.

31132010112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31132010112 is an abundant number, since it is smaller than the sum of its proper divisors (68350140288).

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

31132010112 is a wasteful number, since it uses less digits than its factorization.

31132010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609614 (or 609602 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31132010112 its reverse (21101023113), we get a palindrome (52233033225).

The spelling of 31132010112 in words is "thirty-one billion, one hundred thirty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 609571 1219142 1828713 2438284 3657426 4266997 4876568 7314852 8533994 9753136 11581849 12800991 14629704 17067988 19506272 23163698 25601982 29259408 34135976 34745547 39012544 46327396 51203964 58518816 68271952 69491094 78025088 81072943 92654792 102407928 117037632 136543904 138982188 162145886 185309584 204815856 234075264 243218829 273087808 277964376 324291772 370619168 409631712 486437658 546175616 555928752 648583544 741238336 819263424 972875316 1111857504 1297167088 1482476672 1638526848 1945750632 2223715008 2594334176 3891501264 4447430016 5188668352 7783002528 10377336704 15566005056 31132010112