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31321640106 = 23217192283541
BaseRepresentation
bin11101001010111010…
…100100110010101010
32222211212012011202200
4131022322210302222
51003121314440411
622220003241030
72156115356001
oct351272446252
988755164680
1031321640106
1112313281889
1260a1679176
132c52138b73
141731b9dc38
15c34b90e56
hex74aea4caa

31321640106 has 72 divisors (see below), whose sum is σ = 75836710404. Its totient is φ = 9309185280.

The previous prime is 31321640057. The next prime is 31321640107. The reversal of 31321640106 is 60104612313.

31321640106 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 1 + 640 + 10 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27987617025 + 3334023081 = 167295^2 + 57741^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31321640106.

It is not an unprimeable number, because it can be changed into a prime (31321640107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31305 + ... + 252236.

Almost surely, 231321640106 is an apocalyptic number.

31321640106 is an abundant number, since it is smaller than the sum of its proper divisors (44515070298).

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

31321640106 is a wasteful number, since it uses less digits than its factorization.

31321640106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283604 (or 283582 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 31321640106 in words is "thirty-one billion, three hundred twenty-one million, six hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 361 646 722 969 1083 1938 2166 2907 3249 5814 6137 6498 12274 18411 36822 55233 110466 283541 567082 850623 1701246 2551869 4820197 5103738 5387279 9640394 10774558 14460591 16161837 28921182 32323674 43381773 48485511 86763546 91583743 96971022 102358301 183167486 204716602 274751229 307074903 549502458 614149806 824253687 921224709 1648507374 1740091117 1842449418 3480182234 5220273351 10440546702 15660820053 31321640106