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115123001721 = 37131738212969
BaseRepresentation
bin110101100110111011…
…1011001100101111001
3102000011010020102120120
41223031313121211321
53341232442023341
6124515313243453
711213566240350
oct1531567314571
9360133212516
10115123001721
1144906a2a132
121a38a563589
13ab18993a80
145801742997
152edbc49066
hex1acddd9979

115123001721 has 64 divisors (see below), whose sum is σ = 190307335680. Its totient is φ = 60279367680.

The previous prime is 115123001713. The next prime is 115123001753. The reversal of 115123001721 is 127100321511.

It is not a de Polignac number, because 115123001721 - 23 = 115123001713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 115123001691 and 115123001700.

It is not an unprimeable number, because it can be changed into a prime (115123001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38773525 + ... + 38776493.

It is an arithmetic number, because the mean of its divisors is an integer number (2973552120).

Almost surely, 2115123001721 is an apocalyptic number.

It is an amenable number.

115123001721 is a deficient number, since it is larger than the sum of its proper divisors (75184333959).

115123001721 is a wasteful number, since it uses less digits than its factorization.

115123001721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986.

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 115123001721 in words is "one hundred fifteen billion, one hundred twenty-three million, one thousand, seven hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 173 273 519 821 1211 2249 2463 2969 3633 5747 6747 8907 10673 15743 17241 20783 32019 38597 47229 62349 74711 115791 142033 224133 270179 426099 513637 810537 994231 1540911 1846429 2437549 2982693 3595459 5539287 6677281 7312647 10786377 12925003 17062843 20031843 31688137 38775009 46740967 51188529 95064411 140222901 221816959 421695977 665450877 1265087931 2951871839 5482047701 8855615517 16446143103 38374333907 115123001721