Search a number
-
+
13231132032 = 273731134177
BaseRepresentation
bin11000101001010001…
…10000110110000000
31021011002201011000010
430110220300312000
5204044132211112
610024525024520
7645610523646
oct142450606600
937132634003
1013231132032
11567a6a1368
1226930b5140
13132b239311
148d7333196
155268aa63c
hex314a30d80

13231132032 has 128 divisors (see below), whose sum is σ = 35950520160. Its totient is φ = 4310433792.

The previous prime is 13231132027. The next prime is 13231132073. The reversal of 13231132032 is 23023113231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3165528 + ... + 3169704.

Almost surely, 213231132032 is an apocalyptic number.

13231132032 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 13231132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975260080).

13231132032 is an abundant number, since it is smaller than the sum of its proper divisors (22719388128).

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

13231132032 is a wasteful number, since it uses less digits than its factorization.

13231132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13231132032 its reverse (23023113231), we get a palindrome (36254245263).

The spelling of 13231132032 in words is "thirteen billion, two hundred thirty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 113 128 146 192 219 226 292 339 384 438 452 584 678 876 904 1168 1356 1752 1808 2336 2712 3504 3616 4177 4672 5424 7008 7232 8249 8354 9344 10848 12531 14016 14464 16498 16708 21696 24747 25062 28032 32996 33416 43392 49494 50124 65992 66832 98988 100248 131984 133664 197976 200496 263968 267328 304921 395952 400992 472001 527936 534656 609842 791904 801984 914763 944002 1055872 1219684 1416003 1583808 1603968 1829526 1888004 2439368 2832006 3167616 3659052 3776008 4878736 5664012 7318104 7552016 9757472 11328024 14636208 15104032 19514944 22656048 29272416 30208064 34456073 39029888 45312096 58544832 60416128 68912146 90624192 103368219 117089664 137824292 181248384 206736438 275648584 413472876 551297168 826945752 1102594336 1653891504 2205188672 3307783008 4410377344 6615566016 13231132032