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113300103141342 = 23313376171509153
BaseRepresentation
bin11001110000101110111100…
…011001101001011111011110
3112212011101100222211012122000
4121300232330121221133132
5104322302102401010332
61040545203203103130
732602443114424035
oct3160567431513736
9485141328735560
10113300103141342
113311233854a847
121085a39b371aa6
134b2b200103530
141dd9a7b94771c
15d172e06dab7c
hex670bbc6697de

113300103141342 has 128 divisors (see below), whose sum is σ = 283038952264320. Its totient is φ = 33363309957120.

The previous prime is 113300103141311. The next prime is 113300103141361. The reversal of 113300103141342 is 243141301003311.

113300103141342 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 0 + 1 + 0 + 314 + 1 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34170163 + ... + 37338990.

It is an arithmetic number, because the mean of its divisors is an integer number (2211241814565).

Almost surely, 2113300103141342 is an apocalyptic number.

113300103141342 is an abundant number, since it is smaller than the sum of its proper divisors (169738849122978).

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

113300103141342 is a wasteful number, since it uses less digits than its factorization.

113300103141342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71509275 (or 71509269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113300103141342 its reverse (243141301003311), we get a palindrome (356441404144653).

The spelling of 113300103141342 in words is "one hundred thirteen trillion, three hundred billion, one hundred three million, one hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 61 74 78 111 117 122 183 222 234 333 351 366 481 549 666 702 793 962 999 1098 1443 1586 1647 1998 2257 2379 2886 3294 4329 4514 4758 6771 7137 8658 12987 13542 14274 20313 21411 25974 29341 40626 42822 58682 60939 88023 121878 176046 264069 528138 792207 1584414 71509153 143018306 214527459 429054918 643582377 929618989 1287164754 1859237978 1930747131 2645838661 2788856967 3861494262 4362058333 5291677322 5577713934 7937515983 8366570901 8724116666 13086174999 15875031966 16733141802 23812547949 25099712703 26172349998 34395902593 39258524997 47625095898 50199425406 56706758329 68791805186 71437643847 78517049994 103187707779 113413516658 117775574991 142875287694 161396158321 170120274987 206375415558 235551149982 309563123337 322792316642 340240549974 484188474963 510360824961 619126246674 928689370011 968376949926 1020721649922 1452565424889 1531082474883 1857378740022 2098150058173 2905130849778 3062164949766 4196300116346 4357696274667 6294450174519 8715392549334 12588900349038 18883350523557 37766701047114 56650051570671 113300103141342