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131002011 = 3274121237
BaseRepresentation
bin1111100111011…
…10111010011011
3100010111120222100
413303232322123
5232014031021
620555454443
73150333030
oct763567233
9303446870
10131002011
1167a46828
1237a57423
13211a98aa
1413581387
15b77a626
hex7ceee9b

131002011 has 36 divisors (see below), whose sum is σ = 221839696. Its totient is φ = 72973440.

The previous prime is 131002009. The next prime is 131002033. The reversal of 131002011 is 110200131.

It is not a de Polignac number, because 131002011 - 21 = 131002009 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131001984 and 131002002.

It is not an unprimeable number, because it can be changed into a prime (131002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105285 + ... + 106521.

Almost surely, 2131002011 is an apocalyptic number.

131002011 is a deficient number, since it is larger than the sum of its proper divisors (90837685).

131002011 is a wasteful number, since it uses less digits than its factorization.

131002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131002011 is about 11445.6109928653. The cubic root of 131002011 is about 507.8779066225.

Adding to 131002011 its reverse (110200131), we get a palindrome (241202142).

The spelling of 131002011 in words is "one hundred thirty-one million, two thousand, eleven".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 1237 1681 2583 3711 5043 8659 11133 11767 15129 25977 35301 50717 77931 105903 152151 355019 456453 1065057 2079397 3195171 6238191 14555779 18714573 43667337 131002011