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13161004335 = 345145922273
BaseRepresentation
bin11000100000111010…
…01111110100101111
31020222012202021220000
430100131033310233
5203423204114320
610013541555343
7644066456013
oct142035176457
936865667800
1013161004335
115644053396
122673715b53
13131985463b
148cbcba543
15520656c90
hex31074fd2f

13161004335 has 40 divisors (see below), whose sum is σ = 23609549040. Its totient is φ = 7014076416.

The previous prime is 13161004333. The next prime is 13161004349. The reversal of 13161004335 is 53340016131.

13161004335 is a `hidden beast` number, since 1 + 3 + 1 + 610 + 0 + 43 + 3 + 5 = 666.

It is not a de Polignac number, because 13161004335 - 21 = 13161004333 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 13161004299 and 13161004308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161004333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 579759 + ... + 602031.

It is an arithmetic number, because the mean of its divisors is an integer number (590238726).

Almost surely, 213161004335 is an apocalyptic number.

13161004335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13161004335 is a deficient number, since it is larger than the sum of its proper divisors (10448544705).

13161004335 is a wasteful number, since it uses less digits than its factorization.

13161004335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23749 (or 23740 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13161004335 in words is "thirteen billion, one hundred sixty-one million, four thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1459 4377 7295 13131 21885 22273 39393 65655 66819 111365 118179 196965 200457 334095 590895 601371 1002285 1804113 3006855 9020565 32496307 97488921 162481535 292466763 487444605 877400289 1462333815 2632200867 4387001445 13161004335