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31113111132321 = 3194113421991973
BaseRepresentation
bin1110001001100000101011…
…11011111101100010100001
311002011101101012200001120020
413010300111323331202201
513034224122422213241
6150101055501504053
76360563620040301
oct704602573754241
9132141335601506
1031113111132321
119a05aa6131899
1235a5b19b72029
131448c52629a8a
14797c4dc6b601
1538e4cb82eb66
hex1c4c15efd8a1

31113111132321 has 32 divisors (see below), whose sum is σ = 44735964094080. Its totient is φ = 19169660505600.

The previous prime is 31113111132289. The next prime is 31113111132347. The reversal of 31113111132321 is 12323111131113.

It is not a de Polignac number, because 31113111132321 - 25 = 31113111132289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31113111132291 and 31113111132300.

It is not an unprimeable number, because it can be changed into a prime (31113111132391) 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 31 ways as a sum of consecutive naturals, for example, 30868891 + ... + 31860863.

It is an arithmetic number, because the mean of its divisors is an integer number (1397998877940).

Almost surely, 231113111132321 is an apocalyptic number.

It is an amenable number.

31113111132321 is a deficient number, since it is larger than the sum of its proper divisors (13622852961759).

31113111132321 is a wasteful number, since it uses less digits than its factorization.

31113111132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005457.

The product of its digits is 324, while the sum is 24.

Adding to 31113111132321 its reverse (12323111131113), we get a palindrome (43436222263434).

The spelling of 31113111132321 in words is "thirty-one trillion, one hundred thirteen billion, one hundred eleven million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 19 41 57 123 779 2337 13421 40263 254999 550261 764997 991973 1650783 2975919 10454959 18847487 31364877 40670893 56542461 122012679 772746967 2318240901 13313269633 39939808899 252952123027 545844054953 758856369081 1637532164859 10371037044107 31113111132321