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31123422432113 = 114723493670063
BaseRepresentation
bin1110001001110011111001…
…00010011100101101110001
311002012100222211012100201112
413010321330202130231301
513034411232120311423
6150105523004443105
76361410264453644
oct704717442345561
9132170884170645
1031123422432113
119a0a407638a60
1235a7b17249495
131449c069703bb
1479854b4a5a5b
1538e8d1bcea78
hex1c4e7c89cb71

31123422432113 has 24 divisors (see below), whose sum is σ = 34790004681600. Its totient is φ = 27612665673120.

The previous prime is 31123422432107. The next prime is 31123422432173.

31123422432113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31123422432113 - 24 = 31123422432097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31123422432113.

It is not an unprimeable number, because it can be changed into a prime (31123422432173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6645320 + ... + 10315382.

It is an arithmetic number, because the mean of its divisors is an integer number (1449583528400).

Almost surely, 231123422432113 is an apocalyptic number.

It is an amenable number.

31123422432113 is a deficient number, since it is larger than the sum of its proper divisors (3666582249487).

31123422432113 is a wasteful number, since it uses less digits than its factorization.

31123422432113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670517 (or 3670470 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 3112342 and 2432113, that added together give a palindrome (5544455).

The spelling of 31123422432113 in words is "thirty-one trillion, one hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 11 47 349 517 2209 3839 16403 24299 180433 770941 3670063 8480351 40370693 172492961 1280851987 1897422571 8107169167 14089371857 60200043389 89178860837 662200477279 2829402039283 31123422432113