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221013020020131 = 3318145224681813
BaseRepresentation
bin110010010000001010011010…
…100011001000110110100011
31001222112122020100222112122000
4302100022122203020312203
5212432034131111121011
62102015551342215043
764360443445415013
oct6220123243106643
91058478210875560
10221013020020131
1164470106005099
1220955979284483
1396425910cc771
143c81131585c43
151a840c8745356
hexc9029a8c8da3

221013020020131 has 16 divisors (see below), whose sum is σ = 329235683605920. Its totient is φ = 146527969070880.

The previous prime is 221013020020063. The next prime is 221013020020171. The reversal of 221013020020131 is 131020020310122.

221013020020131 is a `hidden beast` number, since 2 + 210 + 1 + 302 + 0 + 0 + 20 + 131 = 666.

It is not a de Polignac number, because 221013020020131 - 245 = 185828647931299 is a prime.

It is a super-2 number, since 2×2210130200201312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221013020020171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22612336020 + ... + 22612345793.

It is an arithmetic number, because the mean of its divisors is an integer number (20577230225370).

Almost surely, 2221013020020131 is an apocalyptic number.

221013020020131 is a deficient number, since it is larger than the sum of its proper divisors (108222663585789).

221013020020131 is a wasteful number, since it uses less digits than its factorization.

221013020020131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45224682003 (or 45224681997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221013020020131 its reverse (131020020310122), we get a palindrome (352033040330253).

The spelling of 221013020020131 in words is "two hundred twenty-one trillion, thirteen billion, twenty million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 181 543 1629 4887 45224681813 135674045439 407022136317 1221066408951 8185667408153 24557002224459 73671006673377 221013020020131