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221959760144131 = 47125932531153099
BaseRepresentation
bin110010011101111100001000…
…101010000110011100000011
31002002220010221022112221022001
4302131330020222012130003
5213043042042044103011
62104022523420524431
764516030525611442
oct6235741052063403
91062803838487261
10221959760144131
11647a5673138939
1220a893566b0717
1396b093c154379
143cb4ca4368d59
151a9da3933c7c1
hexc9df08a86703

221959760144131 has 16 divisors (see below), whose sum is σ = 226932293952000. Its totient is φ = 216997748908128.

The previous prime is 221959760144063. The next prime is 221959760144141. The reversal of 221959760144131 is 131441067959122.

It is not a de Polignac number, because 221959760144131 - 29 = 221959760143619 is a prime.

It is a super-2 number, since 2×2219597601441312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221959760144141) 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, 191913220 + ... + 193066318.

It is an arithmetic number, because the mean of its divisors is an integer number (14183268372000).

Almost surely, 2221959760144131 is an apocalyptic number.

221959760144131 is a deficient number, since it is larger than the sum of its proper divisors (4972533807869).

221959760144131 is a wasteful number, since it uses less digits than its factorization.

221959760144131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157658.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 221959760144131 in words is "two hundred twenty-one trillion, nine hundred fifty-nine billion, seven hundred sixty million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 47 1259 3253 59173 152891 1153099 4095527 54195653 192489769 1451751641 3751031047 68232327127 176298459209 4722548088173 221959760144131