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131466322116 = 22324871749711
BaseRepresentation
bin111101001110000000…
…0001110000011000100
3110120100010002010102100
41322130000032003010
54123220334301431
6140221135312100
712332600204643
oct1723400160304
9416303063370
10131466322116
1150833347698
122158b97b630
13c521904a5c
14651212335a
1536469594e6
hex1e9c00e0c4

131466322116 has 36 divisors (see below), whose sum is σ = 332386314624. Its totient is φ = 43813052400.

The previous prime is 131466322063. The next prime is 131466322159. The reversal of 131466322116 is 611223664131.

131466322116 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 632 + 2 + 1 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 199500 + ... + 550211.

It is an arithmetic number, because the mean of its divisors is an integer number (9232953184).

Almost surely, 2131466322116 is an apocalyptic number.

It is an amenable number.

131466322116 is an abundant number, since it is smaller than the sum of its proper divisors (200919992508).

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

131466322116 is a wasteful number, since it uses less digits than its factorization.

131466322116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754592 (or 754587 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 131466322116 its reverse (611223664131), we get a palindrome (742689986247).

The spelling of 131466322116 in words is "one hundred thirty-one billion, four hundred sixty-six million, three hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4871 9742 14613 19484 29226 43839 58452 87678 175356 749711 1499422 2249133 2998844 4498266 6747399 8996532 13494798 26989596 3651842281 7303684562 10955526843 14607369124 21911053686 32866580529 43822107372 65733161058 131466322116