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100504118097 = 3211167124233
BaseRepresentation
bin101110110011010000…
…0110010001101010001
3100121102022020012021100
41131212200302031101
53121313023234342
6114100532015013
710155404623365
oct1354640621521
9317368205240
10100504118097
1139694a55529
121758a761469
1396290a7086
144c15da92a5
152933617e4c
hex1766832351

100504118097 has 6 divisors (see below), whose sum is σ = 145172615042. Its totient is φ = 67002745392.

The previous prime is 100504118081. The next prime is 100504118101. The reversal of 100504118097 is 790811405001.

100504118097 is a `hidden beast` number, since 100 + 50 + 411 + 8 + 0 + 97 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80903838096 + 19600280001 = 284436^2 + 140001^2 .

It is not a de Polignac number, because 100504118097 - 24 = 100504118081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100504118597) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5583562108 + ... + 5583562125.

Almost surely, 2100504118097 is an apocalyptic number.

It is an amenable number.

100504118097 is a deficient number, since it is larger than the sum of its proper divisors (44668496945).

100504118097 is a wasteful number, since it uses less digits than its factorization.

100504118097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11167124239 (or 11167124236 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 100504118097 in words is "one hundred billion, five hundred four million, one hundred eighteen thousand, ninety-seven".

Divisors: 1 3 9 11167124233 33501372699 100504118097