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13331432112 = 243378390439
BaseRepresentation
bin11000110101001110…
…11000001010110000
31021102002102220211220
430122213120022300
5204300321311422
610042510505040
7651236206005
oct143247301260
937362386756
1013331432112
115721278299
122700805180
131345c5658b
149067a18ac
155305bde5c
hex31a9d82b0

13331432112 has 80 divisors (see below), whose sum is σ = 35796875520. Its totient is φ = 4271567616.

The previous prime is 13331432089. The next prime is 13331432119. The reversal of 13331432112 is 21123413331.

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 not an unprimeable number, because it can be changed into a prime (13331432119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102189 + ... + 192627.

It is an arithmetic number, because the mean of its divisors is an integer number (447460944).

Almost surely, 213331432112 is an apocalyptic number.

13331432112 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 13331432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17898437760).

13331432112 is an abundant number, since it is smaller than the sum of its proper divisors (22465443408).

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

13331432112 is a wasteful number, since it uses less digits than its factorization.

13331432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90570 (or 90564 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 13331432112 its reverse (21123413331), we get a palindrome (34454845443).

The spelling of 13331432112 in words is "thirteen billion, three hundred thirty-one million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 83 111 148 166 222 249 296 332 444 498 592 664 888 996 1328 1776 1992 3071 3984 6142 9213 12284 18426 24568 36852 49136 73704 90439 147408 180878 271317 361756 542634 723512 1085268 1447024 2170536 3346243 4341072 6692486 7506437 10038729 13384972 15012874 20077458 22519311 26769944 30025748 40154916 45038622 53539888 60051496 80309832 90077244 120102992 160619664 180154488 277738169 360308976 555476338 833214507 1110952676 1666429014 2221905352 3332858028 4443810704 6665716056 13331432112