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225342121113 = 32176124144661
BaseRepresentation
bin1101000111011101101…
…1111110010010011001
3210112122110221211020200
43101313123332102121
512143000040333423
6251304251412413
722165121266014
oct3216733762231
9715573854220
10225342121113
118762683094a
123780a754109
13183326b0605
14ac99a8437b
155cdd1c5d43
hex34776fe499

225342121113 has 24 divisors (see below), whose sum is σ = 350290756296. Its totient is φ = 139073241600.

The previous prime is 225342121091. The next prime is 225342121133. The reversal of 225342121113 is 311121243522.

It is a happy number.

225342121113 is a `hidden beast` number, since 2 + 2 + 534 + 2 + 12 + 1 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 981694224 + 224360426889 = 31332^2 + 473667^2 .

It is not a de Polignac number, because 225342121113 - 210 = 225342120089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225342121133) 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 23 ways as a sum of consecutive naturals, for example, 12062998 + ... + 12081663.

It is an arithmetic number, because the mean of its divisors is an integer number (14595448179).

Almost surely, 2225342121113 is an apocalyptic number.

It is an amenable number.

225342121113 is a deficient number, since it is larger than the sum of its proper divisors (124948635183).

225342121113 is a wasteful number, since it uses less digits than its factorization.

225342121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144745 (or 24144742 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 225342121113 its reverse (311121243522), we get a palindrome (536463364635).

The spelling of 225342121113 in words is "two hundred twenty-five billion, three hundred forty-two million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 9333 24144661 72433983 217301949 410459237 1231377711 1472824321 3694133133 4418472963 13255418889 25038013457 75114040371 225342121113