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131551153201 = 1337316386467
BaseRepresentation
bin111101010000100001…
…1110100110000110001
3110120120000200222210101
41322201003310300301
54123404043400301
6140233405432401
712334650231616
oct1724103646061
9416500628711
10131551153201
1150877218526
12215b426b701
13c536367070
14651d4c650d
15364e114701
hex1ea10f4c31

131551153201 has 16 divisors (see below), whose sum is σ = 145547088064. Its totient is φ = 118111172544.

The previous prime is 131551153171. The next prime is 131551153247. The reversal of 131551153201 is 102351155131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131551153201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131551153201.

It is not an unprimeable number, because it can be changed into a prime (131551153291) 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 15 ways as a sum of consecutive naturals, for example, 1478170 + ... + 1564636.

It is an arithmetic number, because the mean of its divisors is an integer number (9096693004).

Almost surely, 2131551153201 is an apocalyptic number.

It is an amenable number.

131551153201 is a deficient number, since it is larger than the sum of its proper divisors (13995934863).

131551153201 is a wasteful number, since it uses less digits than its factorization.

131551153201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89680.

The product of its (nonzero) digits is 2250, while the sum is 28.

The spelling of 131551153201 in words is "one hundred thirty-one billion, five hundred fifty-one million, one hundred fifty-three thousand, two hundred one".

Divisors: 1 13 37 481 3163 41119 86467 117031 1124071 1521403 3199279 41590627 273495121 3555436573 10119319477 131551153201