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131132023002 = 23221134526599
BaseRepresentation
bin111101000100000010…
…0111110000011011010
3110112110211000222020200
41322020010332003122
54122024244214002
6140124034203030
712321400542651
oct1721004760332
9415424028220
10131132023002
1150681676832
12214b7a23476
13c49a588226
1464bd982198
153627422b1c
hex1e8813e0da

131132023002 has 24 divisors (see below), whose sum is σ = 285465928800. Its totient is φ = 43503513480.

The previous prime is 131132022997. The next prime is 131132023003. The reversal of 131132023002 is 200320231131.

131132023002 is a `hidden beast` number, since 1 + 311 + 320 + 2 + 30 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131132023003) 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, 17259502 + ... + 17267097.

It is an arithmetic number, because the mean of its divisors is an integer number (11894413700).

Almost surely, 2131132023002 is an apocalyptic number.

131132023002 is an abundant number, since it is smaller than the sum of its proper divisors (154333905798).

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

131132023002 is a wasteful number, since it uses less digits than its factorization.

131132023002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34526818 (or 34526815 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131132023002 its reverse (200320231131), we get a palindrome (331452254133).

The spelling of 131132023002 in words is "one hundred thirty-one billion, one hundred thirty-two million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 211 422 633 1266 1899 3798 34526599 69053198 103579797 207159594 310739391 621478782 7285112389 14570224778 21855337167 43710674334 65566011501 131132023002