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31330013312 = 271318828133
BaseRepresentation
bin11101001011011010…
…100001000010000000
32222212102221120122102
4131023122201002000
51003130440411222
622220502525532
72156246501453
oct351332410200
988772846572
1031330013312
1112317a80794
1260a44368a8
132c53aab120
141732d3d49a
15c35796d92
hex74b6a1080

31330013312 has 32 divisors (see below), whose sum is σ = 67216438380. Its totient is φ = 14460005376.

The previous prime is 31330013291. The next prime is 31330013333. The reversal of 31330013312 is 21331003313.

It is an interprime number because it is at equal distance from previous prime (31330013291) and next prime (31330013333).

It can be written as a sum of positive squares in 2 ways, for example, as 31323336256 + 6677056 = 176984^2 + 2584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9412403 + ... + 9415730.

Almost surely, 231330013312 is an apocalyptic number.

31330013312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31330013312 is an abundant number, since it is smaller than the sum of its proper divisors (35886425068).

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

31330013312 is a wasteful number, since it uses less digits than its factorization.

31330013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18828160 (or 18828148 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 31330013312 its reverse (21331003313), we get a palindrome (52661016625).

Subtracting from 31330013312 its reverse (21331003313), we obtain a palindrome (9999009999).

It can be divided in two parts, 3133001 and 3312, that added together give a palindrome (3136313).

The spelling of 31330013312 in words is "thirty-one billion, three hundred thirty million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 18828133 37656266 75312532 150625064 244765729 301250128 489531458 602500256 979062916 1205000512 1958125832 2410001024 3916251664 7832503328 15665006656 31330013312