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31211032131 = 332315722039
BaseRepresentation
bin11101000100010100…
…101000111001000011
32222120011001201011000
4131010110220321003
51002410011012011
622201012423043
72153303252526
oct350424507103
988504051130
1031211032131
11122668a5434
126070617a83
132c3524cb66
14172120abbd
15c2a0e3356
hex744528e43

31211032131 has 48 divisors (see below), whose sum is σ = 48582028800. Its totient is φ = 19766219616.

The previous prime is 31211032121. The next prime is 31211032163. The reversal of 31211032131 is 13123011213.

31211032131 is a `hidden beast` number, since 312 + 1 + 1 + 0 + 321 + 31 = 666.

It is not a de Polignac number, because 31211032131 - 26 = 31211032067 is a prime.

It is a super-2 number, since 2×312110321312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31211032121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15306010 + ... + 15308048.

It is an arithmetic number, because the mean of its divisors is an integer number (1012125600).

Almost surely, 231211032131 is an apocalyptic number.

31211032131 is a deficient number, since it is larger than the sum of its proper divisors (17370996669).

31211032131 is a wasteful number, since it uses less digits than its factorization.

31211032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31211032131 its reverse (13123011213), we get a palindrome (44334043344).

The spelling of 31211032131 in words is "thirty-one billion, two hundred eleven million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 23 27 69 157 207 471 621 1413 2039 3611 4239 6117 10833 18351 24649 32499 46897 55053 73947 97497 140691 221841 320123 422073 566927 665523 960369 1266219 1700781 2881107 5102343 7362829 8643321 15307029 22088487 50259311 66265461 150777933 198796383 452333799 1155964153 1357001397 3467892459 10403677377 31211032131