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137971961300 = 22521900172613
BaseRepresentation
bin1000000001111111000…
…1010000110111010100
3111012010111120211122202
42000133301100313110
54230031310230200
6143214453544032
712653034215015
oct2003761206724
9435114524582
10137971961300
11535716366a8
12228a6645018
131001a67b5b4
14696c15500c
1538c7b711d5
hex201fc50dd4

137971961300 has 36 divisors (see below), whose sum is σ = 299419036476. Its totient is φ = 55185120000.

The previous prime is 137971961297. The next prime is 137971961311. The reversal of 137971961300 is 3169179731.

It can be written as a sum of positive squares in 6 ways, for example, as 4251561616 + 133720399684 = 65204^2 + 365678^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1863794 + ... + 1936406.

Almost surely, 2137971961300 is an apocalyptic number.

137971961300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137971961300 is an abundant number, since it is smaller than the sum of its proper divisors (161447075176).

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

137971961300 is a wasteful number, since it uses less digits than its factorization.

137971961300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91628 (or 91621 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 47.

The spelling of 137971961300 in words is "one hundred thirty-seven billion, nine hundred seventy-one million, nine hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 19001 38002 72613 76004 95005 145226 190010 290452 363065 380020 475025 726130 950050 1452260 1815325 1900100 3630650 7261300 1379719613 2759439226 5518878452 6898598065 13797196130 27594392260 34492990325 68985980650 137971961300