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100414112355 = 3252837884893
BaseRepresentation
bin101110110000100100…
…1011100001001100011
3100121012000212102121100
41131201021130021203
53121122003043410
6114043554525443
710153232605104
oct1354111341143
9317160772540
10100414112355
113964916a917
1217564596883
13961355263b
144c0805a3ab
15292a7898c0
hex176125c263

100414112355 has 24 divisors (see below), whose sum is σ = 174666171888. Its totient is φ = 53364949056.

The previous prime is 100414112321. The next prime is 100414112363. The reversal of 100414112355 is 553211414001.

100414112355 is a `hidden beast` number, since 1 + 0 + 0 + 414 + 11 + 235 + 5 = 666.

It is not a de Polignac number, because 100414112355 - 29 = 100414111843 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 3929712 + ... + 3955181.

It is an arithmetic number, because the mean of its divisors is an integer number (7277757162).

Almost surely, 2100414112355 is an apocalyptic number.

100414112355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100414112355 is a deficient number, since it is larger than the sum of its proper divisors (74252059533).

100414112355 is a wasteful number, since it uses less digits than its factorization.

100414112355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885187 (or 7885184 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 100414112355 its reverse (553211414001), we get a palindrome (653625526356).

The spelling of 100414112355 in words is "one hundred billion, four hundred fourteen million, one hundred twelve thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 45 283 849 1415 2547 4245 12735 7884893 23654679 39424465 70964037 118273395 354820185 2231424719 6694274157 11157123595 20082822471 33471370785 100414112355