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118225257921 = 321146132
BaseRepresentation
bin110111000011011000…
…1100100010111000001
3102022011022200101001100
41232012301210113001
53414111131223141
6130151213325013
711353506053151
oct1560661442701
9368138611040
10118225257921
1146159092131
121aab5496769
13b1c15cba24
145a17766761
15311e28b0b6
hex1b86c645c1

118225257921 has 9 divisors (see below), whose sum is σ = 170771306979. Its totient is φ = 78816150936.

The previous prime is 118225257883. The next prime is 118225257923. The reversal of 118225257921 is 129752522811.

It is a happy number.

The square root of 118225257921 is 343839.

It is a perfect power (a square), and thus also a powerful number.

118225257921 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 2 + 52 + 579 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41365458225 + 76859799696 = 203385^2 + 277236^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 118225257921 - 211 = 118225255873 is a prime.

It is a super-2 number, since 2×1182252579212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (118225257923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 974211 + ... + 1088823.

Almost surely, 2118225257921 is an apocalyptic number.

118225257921 is the 343839-th square number.

118225257921 is the 171920-th centered octagonal number.

It is an amenable number.

118225257921 is a deficient number, since it is larger than the sum of its proper divisors (52546049058).

118225257921 is an frugal number, since it uses more digits than its factorization.

118225257921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229232 (or 114616 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 118225257921 in words is "one hundred eighteen billion, two hundred twenty-five million, two hundred fifty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 114613 343839 1031517 13136139769 39408419307 118225257921