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12325535440101 = 3213293839428539
BaseRepresentation
bin1011001101011100001100…
…1010010101110011100101
31121122022100202102220002100
42303113003022111303211
53103420144033040401
642114134532202313
72411330154420162
oct263270312256345
947568322386070
1012325535440101
113a22259480204
121470930a69399
136b53a6967c60
143087b8247069
151659372bab86
hexb35c3295ce5

12325535440101 has 48 divisors (see below), whose sum is σ = 19261467388800. Its totient is φ = 7550030480256.

The previous prime is 12325535440081. The next prime is 12325535440103. The reversal of 12325535440101 is 10104453552321.

12325535440101 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 5 + 5 + 3 + 544 + 0 + 101 = 666.

It is not a de Polignac number, because 12325535440101 - 25 = 12325535440069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12325535440103) 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 47 ways as a sum of consecutive naturals, for example, 28547490 + ... + 28976028.

It is an arithmetic number, because the mean of its divisors is an integer number (401280570600).

Almost surely, 212325535440101 is an apocalyptic number.

It is an amenable number.

12325535440101 is a deficient number, since it is larger than the sum of its proper divisors (6935931948699).

12325535440101 is a wasteful number, since it uses less digits than its factorization.

12325535440101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429690 (or 429687 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12325535440101 its reverse (10104453552321), we get a palindrome (22429988992422).

The spelling of 12325535440101 in words is "twelve trillion, three hundred twenty-five billion, five hundred thirty-five million, four hundred forty thousand, one hundred one".

Divisors: 1 3 9 13 39 117 293 839 879 2517 2637 3809 7551 10907 11427 32721 34281 98163 245827 428539 737481 1285617 2212443 3195751 3856851 5571007 9587253 16713021 28761759 50139063 125561927 359544221 376685781 1078632663 1130057343 1632305051 3235897989 4674074873 4896915153 14022224619 14690745459 42066673857 105346456753 316039370259 948118110777 1369503937789 4108511813367 12325535440101