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100108818037 is a prime number
BaseRepresentation
bin101110100111011110…
…0110101011001110101
3100120101202101212112101
41131032330311121311
53120010324134122
6113553411222101
710142534625154
oct1351674653165
9316352355471
10100108818037
11395018aa768
121749a2a7931
13959521cb07
144bb96a959b
15290da82027
hex174ef35675

100108818037 has 2 divisors, whose sum is σ = 100108818038. Its totient is φ = 100108818036.

The previous prime is 100108817999. The next prime is 100108818067. The reversal of 100108818037 is 730818801001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50783073201 + 49325744836 = 225351^2 + 222094^2 .

It is a cyclic number.

It is not a de Polignac number, because 100108818037 - 27 = 100108817909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100108817987 and 100108818005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100108818067) 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 as a sum of consecutive naturals, namely, 50054409018 + 50054409019.

It is an arithmetic number, because the mean of its divisors is an integer number (50054409019).

Almost surely, 2100108818037 is an apocalyptic number.

It is an amenable number.

100108818037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100108818037 is an equidigital number, since it uses as much as digits as its factorization.

100108818037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 100108818037 in words is "one hundred billion, one hundred eight million, eight hundred eighteen thousand, thirty-seven".