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13023311130120 = 23352292579183761
BaseRepresentation
bin1011110110000011100111…
…0101010110111000001000
31201010000102221111122011010
42331200321311112320020
53201333220122130440
643410454311003520
72512621535055024
oct275407165267010
951100387448133
1013023311130120
114171178685895
1215640086695a0
13736129341435
1433048dd83384
15178b75e53580
hexbd839d56e08

13023311130120 has 128 divisors (see below), whose sum is σ = 39255973488000. Its totient is φ = 3456358010880.

The previous prime is 13023311130107. The next prime is 13023311130289. The reversal of 13023311130120 is 2103111332031.

It is a happy number.

13023311130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70779040 + ... + 70962800.

It is an arithmetic number, because the mean of its divisors is an integer number (306687292875).

Almost surely, 213023311130120 is an apocalyptic number.

13023311130120 is a gapful number since it is divisible by the number (10) 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 13023311130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627986744000).

13023311130120 is an abundant number, since it is smaller than the sum of its proper divisors (26232662357880).

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

13023311130120 is a wasteful number, since it uses less digits than its factorization.

13023311130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186583 (or 186579 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13023311130120 its reverse (2103111332031), we get a palindrome (15126422462151).

The spelling of 13023311130120 in words is "thirteen trillion, twenty-three billion, three hundred eleven million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1832 2290 2579 2748 3435 4580 5158 5496 6870 7737 9160 10316 12895 13740 15474 20632 25790 27480 30948 38685 51580 61896 77370 103160 154740 183761 309480 367522 551283 590591 735044 918805 1102566 1181182 1470088 1771773 1837610 2205132 2362364 2756415 2952955 3543546 3675220 4410264 4724728 5512830 5905910 7087092 7350440 8858865 11025660 11811820 14174184 17717730 22051320 23623640 35435460 42081269 70870920 84162538 126243807 168325076 210406345 252487614 336650152 420812690 473919619 504975228 631219035 841625380 947839238 1009950456 1262438070 1421758857 1683250760 1895678476 2369598095 2524876140 2843517714 3791356952 4739196190 5049752280 5687035428 7108794285 9478392380 11374070856 14217588570 18956784760 28435177140 56870354280 108527592751 217055185502 325582778253 434110371004 542637963755 651165556506 868220742008 1085275927510 1302331113012 1627913891265 2170551855020 2604662226024 3255827782530 4341103710040 6511655565060 13023311130120