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31331122133 = 61739811857
BaseRepresentation
bin11101001011011110…
…101111101111010101
32222212112000220122212
4131023132233233111
51003131231402013
622220542403205
72156262100253
oct351336575725
988775026585
1031331122133
1112318668873
1260a4890505
132c540a8a2c
14173314b5d3
15c359156a8
hex74b7afbd5

31331122133 has 16 divisors (see below), whose sum is σ = 31964412480. Its totient is φ = 30701980800.

The previous prime is 31331122127. The next prime is 31331122201. The reversal of 31331122133 is 33122113313.

It is a cyclic number.

It is not a de Polignac number, because 31331122133 - 214 = 31331105749 is a prime.

It is a super-2 number, since 2×313311221332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31331122099 and 31331122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331122103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36558641 + ... + 36559497.

It is an arithmetic number, because the mean of its divisors is an integer number (1997775780).

Almost surely, 231331122133 is an apocalyptic number.

It is an amenable number.

31331122133 is a deficient number, since it is larger than the sum of its proper divisors (633290347).

31331122133 is an equidigital number, since it uses as much as digits as its factorization.

31331122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468.

The product of its digits is 972, while the sum is 23.

Adding to 31331122133 its reverse (33122113313), we get a palindrome (64453235446).

The spelling of 31331122133 in words is "thirty-one billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 61 739 811 857 45079 49471 52277 599329 633323 695027 36559069 38632703 42396647 513624953 31331122133