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210131332131 = 3799710036363
BaseRepresentation
bin1100001110110011001…
…1011010110000100011
3202002101102011200102210
43003230303122300203
511420322110112011
6240311043413203
721116151565320
oct3035463326043
9662342150383
10210131332131
1181130727a66
1234884684203
1316a7a2a0566
14a25586db47
1556ecb256a6
hex30eccdac23

210131332131 has 16 divisors (see below), whose sum is σ = 320521320704. Its totient is φ = 119954598624.

The previous prime is 210131332123. The next prime is 210131332189. The reversal of 210131332131 is 131233131012.

It is a happy number.

210131332131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210131332131 - 23 = 210131332123 is a prime.

It is a super-2 number, since 2×2101313321312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210131332098 and 210131332107.

It is not an unprimeable number, because it can be changed into a prime (210131332111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4997245 + ... + 5039118.

It is an arithmetic number, because the mean of its divisors is an integer number (20032582544).

Almost surely, 2210131332131 is an apocalyptic number.

210131332131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210131332131 is a deficient number, since it is larger than the sum of its proper divisors (110389988573).

210131332131 is a wasteful number, since it uses less digits than its factorization.

210131332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10037370.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 210131332131 its reverse (131233131012), we get a palindrome (341364463143).

The spelling of 210131332131 in words is "two hundred ten billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 997 2991 6979 20937 10036363 30109089 70254541 210763623 10006253911 30018761733 70043777377 210131332131