Search a number
-
+
100427351266427 = 2617332311548297
BaseRepresentation
bin10110110101011010010000…
…100110010001010001111011
3111011120202112210010012021012
4112311122100212101101323
5101130400203411011202
6553331404355304135
730103431246026633
oct2665322046212173
9434522483105235
10100427351266427
1129aaa000721899
12b31b5b08ab04b
1344063491725b3
141ab29d17336c3
15b9252c4d7152
hex5b569099147b

100427351266427 has 8 divisors (see below), whose sum is σ = 100495968401136. Its totient is φ = 100358757240192.

The previous prime is 100427351266349. The next prime is 100427351266493. The reversal of 100427351266427 is 724662153724001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100427351266427 - 212 = 100427351262331 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100427350266427) 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 7 ways as a sum of consecutive naturals, for example, 2922143 + ... + 14470439.

It is an arithmetic number, because the mean of its divisors is an integer number (12561996050142).

Almost surely, 2100427351266427 is an apocalyptic number.

100427351266427 is a deficient number, since it is larger than the sum of its proper divisors (68617134709).

100427351266427 is a wasteful number, since it uses less digits than its factorization.

100427351266427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554237.

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 100427351266427 in words is "one hundred trillion, four hundred twenty-seven billion, three hundred fifty-one million, two hundred sixty-six thousand, four hundred twenty-seven".

Divisors: 1 2617 3323 8696291 11548297 30221893249 38374990931 100427351266427