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13001200023312 = 24321747202925471
BaseRepresentation
bin1011110100110001001111…
…1010001011011100010000
31201000220100222120000210100
42331030103322023130100
53201002424201221222
643352400245132400
72511206566544544
oct275142372133420
951026328500710
1013001200023312
114162861521aa6
12155b8776ba100
1373401448a397
1432d39355da24
151782cebc94ac
hexbd313e8b710

13001200023312 has 120 divisors (see below), whose sum is σ = 36425503063040. Its totient is φ = 4328948033280.

The previous prime is 13001200023293. The next prime is 13001200023349. The reversal of 13001200023312 is 21332000210031.

13001200023312 is a `hidden beast` number, since 1 + 300 + 120 + 0 + 0 + 233 + 12 = 666.

13001200023312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 510418737 + ... + 510444207.

Almost surely, 213001200023312 is an apocalyptic number.

13001200023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13001200023312 is an abundant number, since it is smaller than the sum of its proper divisors (23424303039728).

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

13001200023312 is a wasteful number, since it uses less digits than its factorization.

13001200023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29261 (or 29252 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13001200023312 its reverse (21332000210031), we get a palindrome (34333200233343).

The spelling of 13001200023312 in words is "thirteen trillion, one billion, two hundred million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1747 2029 3494 4058 5241 6087 6988 8116 10482 12174 13976 15723 16232 18261 20964 24348 25471 27952 31446 32464 36522 41928 48696 50942 62892 73044 76413 83856 97392 101884 125784 146088 152826 203768 229239 251568 292176 305652 407536 458478 611304 916956 1222608 1833912 3544663 3667824 7089326 10633989 14178652 21267978 28357304 31901967 42535956 44497837 51680659 56714608 63803934 85071912 88995674 103361318 127607868 133493511 155041977 170143824 177991348 206722636 255215736 266987022 310083954 355982696 400480533 413445272 465125931 510431472 533974044 620167908 711965392 800961066 826890544 930251862 1067948088 1240335816 1601922132 1860503724 2135896176 2480671632 3203844264 3721007448 6407688528 7442014896 90286111273 180572222546 270858333819 361144445092 541716667638 722288890184 812575001457 1083433335276 1444577780368 1625150002914 2166866670552 3250300005828 4333733341104 6500600011656 13001200023312