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13105014042300 = 2235279552954179
BaseRepresentation
bin1011111010110011111110…
…1101001110111010111100
31201101211022221221121111120
42332230333231032322330
53204203032043323200
643512205455550540
72521543315261125
oct276547755167274
951354287847446
1013105014042300
1141a2894864004
121577a0a82b450
13740a4a20219b
14334400d6104c
1517ad58b9d9a0
hexbeb3fb4eebc

13105014042300 has 72 divisors (see below), whose sum is σ = 38397138259200. Its totient is φ = 3450434070720.

The previous prime is 13105014042293. The next prime is 13105014042301. The reversal of 13105014042300 is 324041050131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105014042301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276453390 + ... + 276500789.

Almost surely, 213105014042300 is an apocalyptic number.

13105014042300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105014042300 is an abundant number, since it is smaller than the sum of its proper divisors (25292124216900).

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

13105014042300 is a wasteful number, since it uses less digits than its factorization.

13105014042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552954275 (or 552954268 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13105014042300 its reverse (324041050131), we get a palindrome (13429055092431).

The spelling of 13105014042300 in words is "thirteen trillion, one hundred five billion, fourteen million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 23700 552954179 1105908358 1658862537 2211816716 2764770895 3317725074 5529541790 6635450148 8294312685 11059083580 13823854475 16588625370 27647708950 33177250740 41471563425 43683380141 55295417900 82943126850 87366760282 131050140423 165886253700 174733520564 218416900705 262100280846 436833801410 524200561692 655250702115 873667602820 1092084503525 1310501404230 2184169007050 2621002808460 3276253510575 4368338014100 6552507021150 13105014042300