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115120213506 = 23216481388057
BaseRepresentation
bin110101100110110110…
…0110000111000000010
3102000010220222202212100
41223031230300320002
53341231233313011
6124515133411230
711213533445424
oct1531554607002
9360126882770
10115120213506
11449053a5321
121a389639b16
13ab1822893c
145801218814
152edb897d56
hex1acdb30e02

115120213506 has 24 divisors (see below), whose sum is σ = 249442906284. Its totient is φ = 38370977280.

The previous prime is 115120213441. The next prime is 115120213531. The reversal of 115120213506 is 605312021511.

115120213506 is a `hidden beast` number, since 1 + 15 + 120 + 21 + 3 + 506 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107961530625 + 7158682881 = 328575^2 + 84609^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115120213506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102630 + ... + 490686.

Almost surely, 2115120213506 is an apocalyptic number.

115120213506 is an abundant number, since it is smaller than the sum of its proper divisors (134322692778).

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

115120213506 is a wasteful number, since it uses less digits than its factorization.

115120213506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404546 (or 404543 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 115120213506 in words is "one hundred fifteen billion, one hundred twenty million, two hundred thirteen thousand, five hundred six".

Divisors: 1 2 3 6 9 18 16481 32962 49443 98886 148329 296658 388057 776114 1164171 2328342 3492513 6985026 6395567417 12791134834 19186702251 38373404502 57560106753 115120213506