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137103067400 = 23521352731949
BaseRepresentation
bin111111110101111111…
…0101100100100001000
3111002212221121110022012
41333223332230210020
54221241341124100
6142552334315052
712622353562445
oct1775376544410
9432787543265
10137103067400
115316611a872
12226a3658a88
13cc0c6564b0
1468c89b49cc
15387673b135
hex1febfac908

137103067400 has 48 divisors (see below), whose sum is σ = 343284994500. Its totient is φ = 50622670080.

The previous prime is 137103067397. The next prime is 137103067411. The reversal of 137103067400 is 4760301731.

It can be written as a sum of positive squares in 6 ways, for example, as 1721752036 + 135381315364 = 41494^2 + 367942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26363375 + ... + 26368574.

Almost surely, 2137103067400 is an apocalyptic number.

137103067400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137103067400 is an abundant number, since it is smaller than the sum of its proper divisors (206181927100).

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

137103067400 is a wasteful number, since it uses less digits than its factorization.

137103067400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52731978 (or 52731969 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 137103067400 in words is "one hundred thirty-seven billion, one hundred three million, sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 52731949 105463898 210927796 263659745 421855592 527319490 685515337 1054638980 1318298725 1371030674 2109277960 2636597450 2742061348 3427576685 5273194900 5484122696 6855153370 10546389800 13710306740 17137883425 27420613480 34275766850 68551533700 137103067400