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13132332312 = 23311217266009
BaseRepresentation
bin11000011101011111…
…10111110100011000
31020220012210121021020
430032233313310120
5203343334113222
610011035242440
7643300661061
oct141657676430
936805717236
1013132332312
11562994a700
122665ba9420
131313925c48
148c8175568
1551cd9165c
hex30ebf7d18

13132332312 has 96 divisors (see below), whose sum is σ = 38209676400. Its totient is φ = 3745392640.

The previous prime is 13132332259. The next prime is 13132332341. The reversal of 13132332312 is 21323323131.

It is a super-3 number, since 3×131323323123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83637 + ... + 182372.

Almost surely, 213132332312 is an apocalyptic number.

13132332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13132332312 is an abundant number, since it is smaller than the sum of its proper divisors (25077344088).

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

13132332312 is a wasteful number, since it uses less digits than its factorization.

13132332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266057 (or 266042 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 13132332312 its reverse (21323323131), we get a palindrome (34455655443).

It can be divided in two parts, 1 and 3132332312, that added together give a palindrome (3132332313).

The spelling of 13132332312 in words is "thirteen billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 6171 8228 12342 16456 24684 49368 266009 532018 798027 1064036 1596054 2128072 2926099 3192108 4522153 5852198 6384216 8778297 9044306 11704396 13566459 17556594 18088612 23408792 27132918 32187089 35113188 36177224 49743683 54265836 64374178 70226376 96561267 99487366 108531672 128748356 149231049 193122534 198974732 257496712 298462098 386245068 397949464 547180513 596924196 772490136 1094361026 1193848392 1641541539 2188722052 3283083078 4377444104 6566166156 13132332312