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13223610541512 = 23327228517131437
BaseRepresentation
bin1100000001101101110010…
…0110111110010111001000
31201211011110011011222212100
43000123130212332113020
53213123423244312022
644042502014313400
72533242253010400
oct300333446762710
951734404158770
1013223610541512
114239113459218
1215969a84b8860
1374bc9a6b34c7
1433a051b23800
1517de9a81c1ac
hexc06dc9be5c8

13223610541512 has 144 divisors (see below), whose sum is σ = 41662897845660. Its totient is φ = 3778013207808.

The previous prime is 13223610541507. The next prime is 13223610541529. The reversal of 13223610541512 is 21514501632231.

13223610541512 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 61 + 0 + 541 + 51 + 2 = 666.

13223610541512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12694869236196 + 528741305316 = 3562986^2 + 727146^2 .

It is a super-2 number, since 2×132236105415122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100542258 + ... + 100673694.

Almost surely, 213223610541512 is an apocalyptic number.

13223610541512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13223610541512 is an abundant number, since it is smaller than the sum of its proper divisors (28439287304148).

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

13223610541512 is a wasteful number, since it uses less digits than its factorization.

13223610541512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159980 (or 159966 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13223610541512 in words is "thirteen trillion, two hundred twenty-three billion, six hundred ten million, five hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 28517 57034 85551 114068 131437 171102 199619 228136 256653 262874 342204 394311 399238 513306 525748 598857 684408 788622 798476 920059 1026612 1051496 1182933 1197714 1397333 1577244 1596952 1796571 1840118 2053224 2365866 2395428 2760177 2794666 3154488 3593142 3680236 4191999 4731732 4790856 5520354 5589332 6440413 7186284 7360472 8280531 8383998 9463464 11040708 11178664 12575997 12880826 14372568 16561062 16767996 19321239 22081416 25151994 25761652 33122124 33535992 38642478 50303988 51523304 57963717 66244248 77284956 100607976 115927434 154569912 231854868 463709736 3748188929 7496377858 11244566787 14992755716 22489133574 26237322503 29985511432 33733700361 44978267148 52474645006 67467400722 78711967509 89956534296 104949290012 134934801444 157423935018 183661257521 209898580024 236135902527 269869602888 314847870036 367322515042 472271805054 550983772563 629695740072 734645030084 944543610108 1101967545126 1469290060168 1652951317689 1889087220216 2203935090252 3305902635378 4407870180504 6611805270756 13223610541512