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13161421332 = 2232973899689
BaseRepresentation
bin11000100000111101…
…10101101000010100
31020222020112110220100
430100132311220110
5203423310440312
610013554534100
7644103143523
oct142036655024
936866473810
1013161421332
115644308714
122673897330
13131996c397
148cbd884ba
155206da5dc
hex3107b5a14

13161421332 has 72 divisors (see below), whose sum is σ = 33702013800. Its totient is φ = 4330303488.

The previous prime is 13161421319. The next prime is 13161421333. The reversal of 13161421332 is 23312416131.

It is a happy number.

13161421332 is a `hidden beast` number, since 1 + 3 + 1 + 614 + 2 + 13 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852406416 + 12309014916 = 29196^2 + 110946^2 .

It is a super-2 number, since 2×131614213322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13161421296 and 13161421305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161421333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353544 + ... + 1363232.

It is an arithmetic number, because the mean of its divisors is an integer number (468083525).

Almost surely, 213161421332 is an apocalyptic number.

13161421332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13161421332 is an abundant number, since it is smaller than the sum of its proper divisors (20540592468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13161421332 is a wasteful number, since it uses less digits than its factorization.

13161421332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10180 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13161421332 its reverse (23312416131), we get a palindrome (36473837463).

The spelling of 13161421332 in words is "thirteen billion, one hundred sixty-one million, four hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 389 582 778 873 1164 1167 1556 1746 2334 3492 3501 4668 7002 9689 14004 19378 29067 37733 38756 58134 75466 87201 113199 116268 150932 174402 226398 339597 348804 452796 679194 939833 1358388 1879666 2819499 3759332 3769021 5638998 7538042 8458497 11277996 11307063 15076084 16916994 22614126 33833988 33921189 45228252 67842378 135684756 365595037 731190074 1096785111 1462380148 2193570222 3290355333 4387140444 6580710666 13161421332