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31312321002 = 2323747015497
BaseRepresentation
bin11101001010010111…
…000001100111101010
32222211012122201100200
4131022113001213222
51003111423233002
622215031413030
72155643223414
oct351227014752
988735581320
1031312321002
1112308a97246
12609a524176
132c502251c1
1417308559b4
15c33e4eb1c
hex74a5c19ea

31312321002 has 24 divisors (see below), whose sum is σ = 69676968036. Its totient is φ = 10155347136.

The previous prime is 31312320979. The next prime is 31312321009. The reversal of 31312321002 is 20012321313.

31312321002 is a `hidden beast` number, since 31 + 312 + 321 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29162051361 + 2150269641 = 170769^2 + 46371^2 .

It is a super-2 number, since 2×313123210022 (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 (31312321009) 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, 23507083 + ... + 23508414.

Almost surely, 231312321002 is an apocalyptic number.

31312321002 is an abundant number, since it is smaller than the sum of its proper divisors (38364647034).

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

31312321002 is a wasteful number, since it uses less digits than its factorization.

31312321002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47015542 (or 47015539 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31312321002 its reverse (20012321313), we get a palindrome (51324642315).

The spelling of 31312321002 in words is "thirty-one billion, three hundred twelve million, three hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 47015497 94030994 141046491 282092982 423139473 846278946 1739573389 3479146778 5218720167 10437440334 15656160501 31312321002