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131003033022 = 23317142704829
BaseRepresentation
bin111101000000001100…
…0111010010110111110
3110112010211022121021000
41322000120322112332
54121243234024042
6140103145351130
712315243256611
oct1720030722676
9415124277230
10131003033022
1150615884744
12214807984a6
13c4799343b4
1464aa7a6178
15361ae4374c
hex1e8063a5be

131003033022 has 32 divisors (see below), whose sum is σ = 308242432800. Its totient is φ = 41098990464.

The previous prime is 131003032973. The next prime is 131003033027. The reversal of 131003033022 is 220330300131.

131003033022 is a `hidden beast` number, since 1 + 310 + 0 + 3 + 0 + 330 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131003032986 and 131003033004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003033027) 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 15 ways as a sum of consecutive naturals, for example, 71351497 + ... + 71353332.

It is an arithmetic number, because the mean of its divisors is an integer number (9632576025).

Almost surely, 2131003033022 is an apocalyptic number.

131003033022 is an abundant number, since it is smaller than the sum of its proper divisors (177239399778).

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

131003033022 is a wasteful number, since it uses less digits than its factorization.

131003033022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142704857 (or 142704851 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131003033022 its reverse (220330300131), we get a palindrome (351333333153).

The spelling of 131003033022 in words is "one hundred thirty-one billion, three million, thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 142704829 285409658 428114487 856228974 1284343461 2425982093 2568686922 3853030383 4851964186 7277946279 7706060766 14555892558 21833838837 43667677674 65501516511 131003033022