Search a number
-
+
13131232032 = 253413599293
BaseRepresentation
bin11000011101010111…
…01011001100100000
31020220010201200222010
430032223223030200
5203343043411112
610010555512520
7643255426212
oct141653531440
936803650863
1013131232032
115629268a86
122665758740
13131362c1a9
148c7d6a5b2
1551cc2563c
hex30eaeb320

13131232032 has 96 divisors (see below), whose sum is σ = 35412370560. Its totient is φ = 4257966080.

The previous prime is 13131232007. The next prime is 13131232067. The reversal of 13131232032 is 23023213131.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1408378 + ... + 1417670.

It is an arithmetic number, because the mean of its divisors is an integer number (368878860).

Almost surely, 213131232032 is an apocalyptic number.

13131232032 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 13131232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17706185280).

13131232032 is an abundant number, since it is smaller than the sum of its proper divisors (22281138528).

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

13131232032 is a wasteful number, since it uses less digits than its factorization.

13131232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9698 counting only the distinct ones).

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

Adding to 13131232032 its reverse (23023213131), we get a palindrome (36154445163).

The spelling of 13131232032 in words is "thirteen billion, one hundred thirty-one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 359 492 656 718 984 1077 1312 1436 1968 2154 2872 3936 4308 5744 8616 9293 11488 14719 17232 18586 27879 29438 34464 37172 44157 55758 58876 74344 88314 111516 117752 148688 176628 223032 235504 297376 353256 381013 446064 471008 706512 762026 892128 1143039 1413024 1524052 2286078 3048104 3336187 4572156 6096208 6672374 9144312 10008561 12192416 13344748 18288624 20017122 26689496 36577248 40034244 53378992 80068488 106757984 136783667 160136976 273567334 320273952 410351001 547134668 820702002 1094269336 1641404004 2188538672 3282808008 4377077344 6565616016 13131232032