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131010411431022 = 231291115349110183
BaseRepresentation
bin11101110010011100111101…
…000010010000010001101110
3122011212110202211101012122020
4131302130331002100101232
5114132433310311243042
61142345204021331010
736411122061154014
oct3562347502202156
9564773684335566
10131010411431022
1138820226900372
121283a841866a66
1358142c88527a6
14244cd1b2668b4
151022d34d8d3ec
hex77273d09046e

131010411431022 has 32 divisors (see below), whose sum is σ = 262060567833600. Its totient is φ = 43663513535520.

The previous prime is 131010411430999. The next prime is 131010411431027. The reversal of 131010411431022 is 220134114010131.

It is a junction number, because it is equal to n+sod(n) for n = 131010411430983 and 131010411431001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010411431027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188970543 + ... + 1189080725.

It is an arithmetic number, because the mean of its divisors is an integer number (8189392744800).

Almost surely, 2131010411431022 is an apocalyptic number.

131010411431022 is an abundant number, since it is smaller than the sum of its proper divisors (131050156402578).

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

131010411431022 is a wasteful number, since it uses less digits than its factorization.

131010411431022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138448.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131010411431022 its reverse (220134114010131), we get a palindrome (351144525441153).

The spelling of 131010411431022 in words is "one hundred thirty-one trillion, ten billion, four hundred eleven million, four hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 12911 15349 25822 30698 38733 46047 77466 92094 110183 220366 330549 661098 198170939 396341878 594512817 1189025634 1422572713 1691198867 2845145426 3382397734 4267718139 5073596601 8535436278 10147193202 21835068571837 43670137143674 65505205715511 131010411431022