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13232334132 = 223217163132647
BaseRepresentation
bin11000101001011010…
…10110010100110100
31021011011222012222100
430110231112110310
5204044434143012
610025010502100
7645623661423
oct142455262464
937134865870
1013232334132
115680342536
122693594930
13132b56a514
148d75672ba
15526a468dc
hex314b56534

13232334132 has 72 divisors (see below), whose sum is σ = 35633497536. Its totient is φ = 4125821184.

The previous prime is 13232334127. The next prime is 13232334133. The reversal of 13232334132 is 23143323231.

13232334132 is a `hidden beast` number, since 1 + 323 + 2 + 334 + 1 + 3 + 2 = 666.

It is a super-3 number, since 3×132323341323 (a number of 31 digits) contains 333 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 = 13232334096 and 13232334105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232334133) 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, 33433 + ... + 166079.

It is an arithmetic number, because the mean of its divisors is an integer number (494909688).

Almost surely, 213232334132 is an apocalyptic number.

13232334132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13232334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816748768).

13232334132 is an abundant number, since it is smaller than the sum of its proper divisors (22401163404).

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

13232334132 is a wasteful number, since it uses less digits than its factorization.

13232334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132837 (or 132832 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 13232334132 its reverse (23143323231), we get a palindrome (36375657363).

The spelling of 13232334132 in words is "thirteen billion, two hundred thirty-two million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 163 204 306 326 489 612 652 978 1467 1956 2771 2934 5542 5868 8313 11084 16626 24939 33252 49878 99756 132647 265294 397941 530588 795882 1193823 1591764 2254999 2387646 4509998 4775292 6764997 9019996 13529994 20294991 21621461 27059988 40589982 43242922 64864383 81179964 86485844 129728766 194593149 259457532 367564837 389186298 735129674 778372596 1102694511 1470259348 2205389022 3308083533 4410778044 6616167066 13232334132