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131430031034320 = 2451642875387929
BaseRepresentation
bin11101111000100011110000…
…010100000000011111010000
3122020100120212211200200201001
4131320203300110000133100
5114211322200421044240
61143310042301551344
736453335456014444
oct3570436024003720
9566316784620631
10131430031034320
1138972188166047
12128a802b575554
135844a4cacbb45
142465366db0824
15102dbe3e1289a
hex7788f05007d0

131430031034320 has 20 divisors (see below), whose sum is σ = 305574822154980. Its totient is φ = 52572012413696.

The previous prime is 131430031034311. The next prime is 131430031034327. The reversal of 131430031034320 is 23430130034131.

It can be written as a sum of positive squares in 2 ways, for example, as 74413879817104 + 57016151217216 = 8626348^2 + 7550904^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131430031034327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 821437693885 + ... + 821437694044.

It is an arithmetic number, because the mean of its divisors is an integer number (15278741107749).

Almost surely, 2131430031034320 is an apocalyptic number.

131430031034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131430031034320 is an abundant number, since it is smaller than the sum of its proper divisors (174144791120660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131430031034320 is a wasteful number, since it uses less digits than its factorization.

131430031034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642875387942 (or 1642875387936 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 131430031034320 its reverse (23430130034131), we get a palindrome (154860161068451).

The spelling of 131430031034320 in words is "one hundred thirty-one trillion, four hundred thirty billion, thirty-one million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1642875387929 3285750775858 6571501551716 8214376939645 13143003103432 16428753879290 26286006206864 32857507758580 65715015517160 131430031034320