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13120344441 = 3741146323
BaseRepresentation
bin11000011100000100…
…01001000101111001
31020212101020120000000
430032002021011321
5203332302010231
610005530303213
7643064042031
oct141602110571
936771216000
1013120344441
115623101a76
122661b87b09
1313112b9629
148c67348c1
1551bcc46e6
hex30e089179

13120344441 has 32 divisors (see below), whose sum is σ = 20157594240. Its totient is φ = 8533499040.

The previous prime is 13120344331. The next prime is 13120344449. The reversal of 13120344441 is 14444302131.

13120344441 is a `hidden beast` number, since 1 + 312 + 0 + 344 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 13120344441 - 222 = 13116150137 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13120344449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16506 + ... + 162828.

It is an arithmetic number, because the mean of its divisors is an integer number (629924820).

Almost surely, 213120344441 is an apocalyptic number.

It is an amenable number.

13120344441 is a deficient number, since it is larger than the sum of its proper divisors (7037249799).

13120344441 is an frugal number, since it uses more digits than its factorization.

13120344441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146385 (or 146367 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13120344441 its reverse (14444302131), we get a palindrome (27564646572).

The spelling of 13120344441 in words is "thirteen billion, one hundred twenty million, three hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 41 81 123 243 369 729 1107 2187 3321 9963 29889 89667 146323 438969 1316907 3950721 5999243 11852163 17997729 35556489 53993187 106669467 161979561 320008401 485938683 1457816049 4373448147 13120344441