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13312323024 = 24371113277063
BaseRepresentation
bin11000110010111100…
…11110110111010000
31021100202111002002220
430121132132313100
5204230423314044
610040545141040
7650614610250
oct143136366720
937322432086
1013312323024
115711506360
1226b632a780
131341cc5820
14904029960
1552da97019
hex31979edd0

13312323024 has 160 divisors (see below), whose sum is σ = 46174377984. Its totient is φ = 3191754240.

The previous prime is 13312323023. The next prime is 13312323029. The reversal of 13312323024 is 42032321331.

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

It is a junction number, because it is equal to n+sod(n) for n = 13312322985 and 13312323003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90484 + ... + 186579.

Almost surely, 213312323024 is an apocalyptic number.

13312323024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13312323024 is an abundant number, since it is smaller than the sum of its proper divisors (32862054960).

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

13312323024 is a wasteful number, since it uses less digits than its factorization.

13312323024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277105 (or 277099 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13312323024 its reverse (42032321331), we get a palindrome (55344644355).

The spelling of 13312323024 in words is "thirteen billion, three hundred twelve million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 277063 554126 831189 1108252 1662378 1939441 2216504 3047693 3324756 3601819 3878882 4433008 5818323 6095386 6649512 7203638 7757764 9143079 10805457 11636646 12190772 13299024 14407276 15515528 18286158 21333851 21610914 23273292 24381544 25212733 28814552 31031056 36572316 39620009 42667702 43221828 46546584 48763088 50425466 57629104 64001553 73144632 75638199 79240018 85335404 86443656 93093168 100850932 118860027 128003106 146289264 151276398 158480036 170670808 172887312 201701864 237720054 256006212 277340063 302552796 316960072 341341616 403403728 475440108 512012424 554680126 605105592 633920144 832020189 950880216 1024024848 1109360252 1210211184 1664040378 1901760432 2218720504 3328080756 4437441008 6656161512 13312323024