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131290162969 = 727873404563
BaseRepresentation
bin111101001000110000…
…0001110011100011001
3110112212211121022111111
41322101200032130121
54122340240203334
6140151443500321
712325330654300
oct1722140163431
9415784538444
10131290162969
1150752968719
12215409876a1
13c4c4277184
1464d6989437
15363625e064
hex1e9180e719

131290162969 has 12 divisors (see below), whose sum is σ = 152919396624. Its totient is φ = 112391400744.

The previous prime is 131290162931. The next prime is 131290162999. The reversal of 131290162969 is 969261092131.

It is not a de Polignac number, because 131290162969 - 217 = 131290031897 is a prime.

It is a super-2 number, since 2×1312901629692 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131290162999) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1663719 + ... + 1740844.

It is an arithmetic number, because the mean of its divisors is an integer number (12743283052).

Almost surely, 2131290162969 is an apocalyptic number.

It is an amenable number.

131290162969 is a deficient number, since it is larger than the sum of its proper divisors (21629233655).

131290162969 is an equidigital number, since it uses as much as digits as its factorization.

131290162969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405364 (or 3405357 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

The spelling of 131290162969 in words is "one hundred thirty-one billion, two hundred ninety million, one hundred sixty-two thousand, nine hundred sixty-nine".

Divisors: 1 7 49 787 5509 38563 3404563 23831941 166823587 2679391081 18755737567 131290162969