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225653711121 = 32172162753323
BaseRepresentation
bin1101001000101000000…
…0100110000100010001
3210120110012021020101100
43102022000212010101
512144114322223441
6251355222055013
722205623616466
oct3221200460421
9716405236340
10225653711121
1187776701053
1237896b7a469
13183821088b7
14acc91d366d
155d0a723cb6
hex348a026111

225653711121 has 36 divisors (see below), whose sum is σ = 346464584752. Its totient is φ = 141496965504.

The previous prime is 225653711111. The next prime is 225653711131. The reversal of 225653711121 is 121117356522.

225653711121 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 537 + 1 + 112 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (225653711111) and next prime (225653711131).

It is not a de Polignac number, because 225653711121 - 27 = 225653710993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225653711111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4205166 + ... + 4258488.

Almost surely, 2225653711121 is an apocalyptic number.

It is an amenable number.

225653711121 is a deficient number, since it is larger than the sum of its proper divisors (120810873631).

225653711121 is a wasteful number, since it uses less digits than its factorization.

225653711121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54990 (or 54970 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The spelling of 225653711121 in words is "two hundred twenty-five billion, six hundred fifty-three million, seven hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 289 867 1627 2601 4881 14643 27659 53323 82977 159969 248931 470203 479907 906491 1410609 2719473 4231827 8158419 15410347 46231041 86756521 138693123 260269563 780808689 1474860857 4424582571 13273747713 25072634569 75217903707 225653711121