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31213202112 = 2632232356069
BaseRepresentation
bin11101000100011100…
…111010101011000000
32222120022010221210200
4131010130322223000
51002411034431422
622201131125200
72153330561151
oct350434725300
988508127720
1031213202112
1112268047804
1260712a3800
132c3582c781
141721613928
15c2a3c12ac
hex74473aac0

31213202112 has 84 divisors (see below), whose sum is σ = 93356917680. Its totient is φ = 9952031232.

The previous prime is 31213202093. The next prime is 31213202117. The reversal of 31213202112 is 21120231213.

31213202112 is a `hidden beast` number, since 312 + 1 + 320 + 21 + 12 = 666.

It is a super-2 number, since 2×312132021122 (a number of 22 digits) contains 22 as substring.

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 (31213202117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1164787 + ... + 1191282.

Almost surely, 231213202112 is an apocalyptic number.

31213202112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31213202112 is an abundant number, since it is smaller than the sum of its proper divisors (62143715568).

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

31213202112 is a wasteful number, since it uses less digits than its factorization.

31213202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356110 (or 2356097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31213202112 its reverse (21120231213), we get a palindrome (52333433325).

The spelling of 31213202112 in words is "thirty-one billion, two hundred thirteen million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 2356069 4712138 7068207 9424276 14136414 18848552 21204621 28272828 37697104 42409242 54189587 56545656 75394208 84818484 108379174 113091312 150788416 162568761 169636968 216758348 226182624 325137522 339273936 433516696 452365248 487706283 650275044 678547872 867033392 975412566 1300550088 1357095744 1734066784 1950825132 2601100176 3468133568 3901650264 5202200352 7803300528 10404400704 15606601056 31213202112