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131383166406 = 2329839899971
BaseRepresentation
bin111101001011100001…
…1000000010111000110
3110120010022121101020020
41322113003000113012
54123033042311111
6140205005120010
712330540326322
oct1722703002706
9416108541206
10131383166406
11507a0410568
1221567b59006
13c50a60b1ab
146505078982
15363e4d0906
hex1e970c05c6

131383166406 has 32 divisors (see below), whose sum is σ = 272151532800. Its totient is φ = 42233792160.

The previous prime is 131383166399. The next prime is 131383166413. The reversal of 131383166406 is 604661383131.

It is an interprime number because it is at equal distance from previous prime (131383166399) and next prime (131383166413).

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 15 ways as a sum of consecutive naturals, for example, 304000 + ... + 595971.

It is an arithmetic number, because the mean of its divisors is an integer number (8504735400).

Almost surely, 2131383166406 is an apocalyptic number.

131383166406 is an abundant number, since it is smaller than the sum of its proper divisors (140768366394).

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

131383166406 is a wasteful number, since it uses less digits than its factorization.

131383166406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900844.

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 131383166406 in words is "one hundred thirty-one billion, three hundred eighty-three million, one hundred sixty-six thousand, four hundred six".

Divisors: 1 2 3 6 29 58 87 174 839 1678 2517 5034 24331 48662 72993 145986 899971 1799942 2699913 5399826 26099159 52198318 78297477 156594954 755075669 1510151338 2265227007 4530454014 21897194401 43794388802 65691583203 131383166406