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113332001211221 = 1373271344018633
BaseRepresentation
bin11001110001001100101001…
…101011001000001101010101
3112212021102201000200001101112
4121301030221223020031111
5104323312414302224341
61041012000321304405
732604652432513232
oct3161145153101525
9485242630601345
10113332001211221
1133124917140871
1210864601a95105
134b312147a47b0
141ddb4260b6789
15d1805ac90aeb
hex671329ac8355

113332001211221 has 16 divisors (see below), whose sum is σ = 123767369292336. Its totient is φ = 103143049906176.

The previous prime is 113332001211151. The next prime is 113332001211257. The reversal of 113332001211221 is 122112100233311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10955345332996 + 102376655878225 = 3309886^2 + 10118135^2 .

It is a cyclic number.

It is not a de Polignac number, because 113332001211221 - 238 = 113057123304277 is a prime.

It is a super-2 number, since 2×1133320012112212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113332201211221) 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, 19434680 + ... + 24583953.

It is an arithmetic number, because the mean of its divisors is an integer number (7735460580771).

Almost surely, 2113332001211221 is an apocalyptic number.

It is an amenable number.

113332001211221 is a deficient number, since it is larger than the sum of its proper divisors (10435368081115).

113332001211221 is a wasteful number, since it uses less digits than its factorization.

113332001211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44021432.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 113332001211221 its reverse (122112100233311), we get a palindrome (235444101444532).

The spelling of 113332001211221 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 13 73 949 2713 35269 198049 2574637 44018633 572242229 3213360209 41773682717 119422551329 1552493167277 8717846247017 113332001211221