Search a number
-
+
131031043013123 = 1131841945641437
BaseRepresentation
bin11101110010110000001010…
…110001011111101000000011
3122011221110000200100011122122
4131302300022301133220003
5114133303034002404443
61142402455151554455
736412452252545111
oct3562601261375003
9564843020304578
10131031043013123
1138828a53899370
121284283b22ba2b
135816236033136
14244dd17396ab1
1510236412b4968
hex772c0ac5fa03

131031043013123 has 16 divisors (see below), whose sum is σ = 147571548656640. Its totient is φ = 115262882474400.

The previous prime is 131031043013053. The next prime is 131031043013147. The reversal of 131031043013123 is 321310340130131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131031043013123 - 226 = 131030975904259 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131031043013092 and 131031043013101.

It is not an unprimeable number, because it can be changed into a prime (131031043013153) 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 15 ways as a sum of consecutive naturals, for example, 19949840 + ... + 25691597.

It is an arithmetic number, because the mean of its divisors is an integer number (9223221791040).

Almost surely, 2131031043013123 is an apocalyptic number.

131031043013123 is a deficient number, since it is larger than the sum of its proper divisors (16540505643517).

131031043013123 is a wasteful number, since it uses less digits than its factorization.

131031043013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45649898.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 131031043013123 its reverse (321310340130131), we get a palindrome (452341383143254).

The spelling of 131031043013123 in words is "one hundred thirty-one trillion, thirty-one billion, forty-three million, thirteen thousand, one hundred twenty-three".

Divisors: 1 11 31 341 8419 92609 260989 2870879 45641437 502055807 1414884547 15563730017 384255258103 4226807839133 11911913001193 131031043013123