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131572126434 = 2373132669677
BaseRepresentation
bin111101010001001001…
…1110101001011100010
3110120121111011112122210
41322202103311023202
54123424431021214
6140235435142550
712335323423230
oct1724223651342
9416544145583
10131572126434
1150888042a81
12215bb2a4a56
13c53a7cb468
1465221c5950
153650da8b59
hex1ea24f52e2

131572126434 has 16 divisors (see below), whose sum is σ = 300736289088. Its totient is φ = 37592036112.

The previous prime is 131572126423. The next prime is 131572126507. The reversal of 131572126434 is 434621275131.

It is a super-2 number, since 2×1315721264342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131572126392 and 131572126401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1566334797 + ... + 1566334880.

It is an arithmetic number, because the mean of its divisors is an integer number (18796018068).

Almost surely, 2131572126434 is an apocalyptic number.

131572126434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131572126434 is an abundant number, since it is smaller than the sum of its proper divisors (169164162654).

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

131572126434 is a wasteful number, since it uses less digits than its factorization.

131572126434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132669689.

The product of its digits is 120960, while the sum is 39.

The spelling of 131572126434 in words is "one hundred thirty-one billion, five hundred seventy-two million, one hundred twenty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 3132669677 6265339354 9398009031 18796018062 21928687739 43857375478 65786063217 131572126434