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131002001 = 13311731879
BaseRepresentation
bin1111100111011…
…10111010010001
3100010111120221222
413303232322101
5232014031001
620555454425
73150333014
oct763567221
9303446858
10131002001
1167a46819
1237a57415
13211a98a0
141358137b
15b77a61b
hex7ceee91

131002001 has 16 divisors (see below), whose sum is σ = 146549760. Its totient is φ = 116285760.

The previous prime is 131001991. The next prime is 131002009. The reversal of 131002001 is 100200131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131002001 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 131002001.

It is not an unprimeable number, because it can be changed into a prime (131002009) 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, 68780 + ... + 70658.

It is an arithmetic number, because the mean of its divisors is an integer number (9159360).

Almost surely, 2131002001 is an apocalyptic number.

It is an amenable number.

131002001 is a deficient number, since it is larger than the sum of its proper divisors (15547759).

131002001 is a wasteful number, since it uses less digits than its factorization.

131002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 131002001 is about 11445.6105560167. The cubic root of 131002001 is about 507.8778936996.

Adding to 131002001 its reverse (100200131), we get a palindrome (231202132).

The spelling of 131002001 in words is "one hundred thirty-one million, two thousand, one".

Divisors: 1 13 31 173 403 1879 2249 5363 24427 58249 69719 325067 757237 4225871 10077077 131002001