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131002002 = 2335934091
BaseRepresentation
bin1111100111011…
…10111010010010
3100010111120222000
413303232322102
5232014031002
620555454430
73150333015
oct763567222
9303446860
10131002002
1167a4681a
1237a57416
13211a98a1
141358137c
15b77a61c
hex7ceee92

131002002 has 32 divisors (see below), whose sum is σ = 291677760. Its totient is φ = 43583040.

The previous prime is 131001991. The next prime is 131002009. The reversal of 131002002 is 200200131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 29977 + ... + 34067.

It is an arithmetic number, because the mean of its divisors is an integer number (9114930).

Almost surely, 2131002002 is an apocalyptic number.

131002002 is an abundant number, since it is smaller than the sum of its proper divisors (160675758).

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

131002002 is a wasteful number, since it uses less digits than its factorization.

131002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131002002 is about 11445.6105997015. The cubic root of 131002002 is about 507.8778949919.

Adding to 131002002 its reverse (200200131), we get a palindrome (331202133).

The spelling of 131002002 in words is "one hundred thirty-one million, two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 593 1186 1779 3558 4091 5337 8182 10674 12273 16011 24546 32022 36819 73638 110457 220914 2425963 4851926 7277889 14555778 21833667 43667334 65501001 131002002