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31213301231331 = 338315192240341
BaseRepresentation
bin1110001100011011010011…
…01110110110111011100011
311002111221222122000102122000
413012031221232312323203
513042344320103400311
6150215105335215043
76401041462605312
oct706155156667343
9132457878012560
1031213301231331
119a445398a810a
12360141b517483
13145552b63802b
1479ca36254279
15391de25ba056
hex1c6369bb6ee3

31213301231331 has 32 divisors (see below), whose sum is σ = 47108987466240. Its totient is φ = 20422011276000.

The previous prime is 31213301231317. The next prime is 31213301231363. The reversal of 31213301231331 is 13313210331213.

31213301231331 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 301 + 23 + 1 + 331 = 666.

It is not a de Polignac number, because 31213301231331 - 217 = 31213301100259 is a prime.

It is a super-2 number, since 2×312133012313312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31213301231295 and 31213301231304.

It is not an unprimeable number, because it can be changed into a prime (31213301236331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45781780 + ... + 46458561.

It is an arithmetic number, because the mean of its divisors is an integer number (1472155858320).

Almost surely, 231213301231331 is an apocalyptic number.

31213301231331 is a deficient number, since it is larger than the sum of its proper divisors (15895686234909).

31213301231331 is a wasteful number, since it uses less digits than its factorization.

31213301231331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92240584 (or 92240578 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31213301231331 its reverse (13313210331213), we get a palindrome (44526511562544).

The spelling of 31213301231331 in words is "thirty-one trillion, two hundred thirteen billion, three hundred one million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 83 151 249 453 747 1359 2241 4077 12533 37599 112797 338391 92240341 276721023 830163069 2490489207 7655948303 13928291491 22967844909 41784874473 68903534727 125354623419 206710604181 376063870257 1156048193753 3468144581259 10404433743777 31213301231331