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13125063126 = 237443705421
BaseRepresentation
bin11000011100101000…
…01001000111010110
31020212201010021211010
430032110021013112
5203340004010001
610010215353050
7643152124110
oct141624110726
936781107733
1013125063126
11562583520a
122663682786
13131227c356
148c72023b0
1551c4078d6
hex30e5091d6

13125063126 has 32 divisors (see below), whose sum is σ = 30067907328. Its totient is φ = 3741547680.

The previous prime is 13125063121. The next prime is 13125063199. The reversal of 13125063126 is 62136052131.

It is a super-2 number, since 2×131250631262 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13125063093 and 13125063102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125063121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334105 + ... + 371316.

It is an arithmetic number, because the mean of its divisors is an integer number (939622104).

Almost surely, 213125063126 is an apocalyptic number.

13125063126 is an abundant number, since it is smaller than the sum of its proper divisors (16942844202).

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

13125063126 is a wasteful number, since it uses less digits than its factorization.

13125063126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705876.

The product of its (nonzero) digits is 6480, while the sum is 30.

It can be divided in two parts, 131250 and 63126, that added together give a triangular number (194376 = T623).

The spelling of 13125063126 in words is "thirteen billion, one hundred twenty-five million, sixty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 443 886 1329 2658 3101 6202 9303 18606 705421 1410842 2116263 4232526 4937947 9875894 14813841 29627682 312501503 625003006 937504509 1875009018 2187510521 4375021042 6562531563 13125063126