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31013333131 = 1131131694261
BaseRepresentation
bin11100111000100010…
…011110100010001011
32222001101001120002211
4130320202132202023
51002003403130011
622125231205551
72145352660564
oct347042364213
988041046084
1031013333131
1112175244230
1260163768b7
132c032bccc1
141702c6716b
15c17a90b21
hex73889e88b

31013333131 has 16 divisors (see below), whose sum is σ = 35190752256. Its totient is φ = 27076140000.

The previous prime is 31013333111. The next prime is 31013333159. The reversal of 31013333131 is 13133331013.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31013333131 is a prime.

It is a super-2 number, since 2×310133331312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31013333111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302460 + ... + 391801.

It is an arithmetic number, because the mean of its divisors is an integer number (2199422016).

Almost surely, 231013333131 is an apocalyptic number.

31013333131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31013333131 is a deficient number, since it is larger than the sum of its proper divisors (4177419125).

31013333131 is a wasteful number, since it uses less digits than its factorization.

31013333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694434.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 31013333131 its reverse (13133331013), we get a palindrome (44146664144).

The spelling of 31013333131 in words is "thirty-one billion, thirteen million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 31 131 341 1441 4061 44671 694261 7636871 21522091 90948191 236743001 1000430101 2819393921 31013333131