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102378418561 = 1931541321289
BaseRepresentation
bin101111101011000111…
…0101011000110000001
3100210020221001112011001
41133112032223012001
53134132333343221
6115010524452001
710253014125256
oct1372616530601
9323227045131
10102378418561
113a466a48181
1217a123aa001
1398674b01c3
144d52ca342d
1529e2e4b391
hex17d63ab181

102378418561 has 16 divisors (see below), whose sum is σ = 111449075200. Its totient is φ = 93687580800.

The previous prime is 102378418553. The next prime is 102378418579. The reversal of 102378418561 is 165814873201.

It is a cyclic number.

It is not a de Polignac number, because 102378418561 - 23 = 102378418553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102378418061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158005 + ... + 479293.

It is an arithmetic number, because the mean of its divisors is an integer number (6965567200).

Almost surely, 2102378418561 is an apocalyptic number.

It is an amenable number.

102378418561 is a deficient number, since it is larger than the sum of its proper divisors (9070656639).

102378418561 is a wasteful number, since it uses less digits than its factorization.

102378418561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321880.

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 102378418561 in words is "one hundred two billion, three hundred seventy-eight million, four hundred eighteen thousand, five hundred sixty-one".

Divisors: 1 19 31 541 589 10279 16771 318649 321289 6104491 9959959 173817349 189239221 3302529631 5388337819 102378418561