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31211300013 = 337799113907
BaseRepresentation
bin11101000100010101…
…101010010010101101
32222120011120022121120
4131010111222102231
51002410043100023
622201022251153
72153305446525
oct350425522255
988504508546
1031211300013
1112266a68723
126070726ab9
132c35314a7a
14172127a685
15c2a1478e3
hex74456a4ad

31211300013 has 32 divisors (see below), whose sum is σ = 43339407360. Its totient is φ = 19961847360.

The previous prime is 31211299993. The next prime is 31211300017. The reversal of 31211300013 is 31000311213.

It is not a de Polignac number, because 31211300013 - 26 = 31211299949 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31211299965 and 31211300001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31211300017) 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 31 ways as a sum of consecutive naturals, for example, 7986606 + ... + 7990512.

It is an arithmetic number, because the mean of its divisors is an integer number (1354356480).

Almost surely, 231211300013 is an apocalyptic number.

It is an amenable number.

31211300013 is a deficient number, since it is larger than the sum of its proper divisors (12128107347).

31211300013 is a wasteful number, since it uses less digits than its factorization.

31211300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31211300013 its reverse (31000311213), we get a palindrome (62211611226).

The spelling of 31211300013 in words is "thirty-one billion, two hundred eleven million, three hundred thousand, thirteen".

Divisors: 1 3 37 79 111 237 911 2733 2923 3907 8769 11721 33707 71969 101121 144559 215907 308653 433677 925959 2662853 3559277 7988559 10677831 11420161 34260483 131693249 281182883 395079747 843548649 10403766671 31211300013