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31330311131 = 724137394967
BaseRepresentation
bin11101001011011011…
…101001101111011011
32222212110111201011202
4131023123221233123
51003131024424011
622220513144415
72156252151650
oct351333515733
988773451152
1031330311131
1112318164519
1260a455b10b
132c53b83852
141732db9c27
15c3580523b
hex74b6e9bdb

31330311131 has 16 divisors (see below), whose sum is σ = 35971499520. Its totient is φ = 26730587520.

The previous prime is 31330311083. The next prime is 31330311137. The reversal of 31330311131 is 13111303313.

It is not a de Polignac number, because 31330311131 - 210 = 31330310107 is a prime.

It is a super-2 number, since 2×313303111312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31330311137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6305210 + ... + 6310176.

It is an arithmetic number, because the mean of its divisors is an integer number (2248218720).

Almost surely, 231330311131 is an apocalyptic number.

31330311131 is a deficient number, since it is larger than the sum of its proper divisors (4641188389).

31330311131 is a wasteful number, since it uses less digits than its factorization.

31330311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 31330311131 its reverse (13111303313), we get a palindrome (44441614444).

The spelling of 31330311131 in words is "thirty-one billion, three hundred thirty million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 7 241 1687 3739 4967 26173 34769 901099 1197047 6307693 8379329 18571613 130001291 4475758733 31330311131