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112407434073 = 3311597019151
BaseRepresentation
bin110100010110000000…
…0010101001101011001
3101202010212102022002000
41220230000111031121
53320202300342243
6123350025231213
711056363265454
oct1505400251531
9352125368060
10112407434073
114374307aa50
1219951032509
13a7a51b94cc
145624c1a49b
152dcd63b5d3
hex1a2c015359

112407434073 has 64 divisors (see below), whose sum is σ = 185031475200. Its totient is φ = 66868200000.

The previous prime is 112407434063. The next prime is 112407434077. The reversal of 112407434073 is 370434704211.

112407434073 is a `hidden beast` number, since 1 + 1 + 240 + 7 + 4 + 3 + 407 + 3 = 666.

It is not a de Polignac number, because 112407434073 - 234 = 95227564889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112407434077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12279048 + ... + 12288198.

It is an arithmetic number, because the mean of its divisors is an integer number (2891116800).

Almost surely, 2112407434073 is an apocalyptic number.

It is an amenable number.

112407434073 is a deficient number, since it is larger than the sum of its proper divisors (72624041127).

112407434073 is a wasteful number, since it uses less digits than its factorization.

112407434073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 112407434073 in words is "one hundred twelve billion, four hundred seven million, four hundred thirty-four thousand, seventy-three".

Divisors: 1 3 9 11 27 33 59 99 177 297 531 649 701 1593 1947 2103 5841 6309 7711 9151 17523 18927 23133 27453 41359 69399 82359 100661 124077 208197 247077 301983 372231 454949 539909 905949 1116693 1364847 1619727 2717847 4094541 4859181 5938999 6414851 12283623 14577543 17816997 19244553 53450991 57733659 70563361 160352973 173200977 211690083 378476209 635070249 1135428627 1905210747 3406285881 4163238299 10218857643 12489714897 37469144691 112407434073