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100121889149 is a prime number
BaseRepresentation
bin101110100111110111…
…0101100100101111101
3100120102122222221201122
41131033232230211331
53120022200423044
6113554555320325
710143054005312
oct1351756544575
9316378887648
10100121889149
1139509218237
12174a27500a5
139597b484b9
144bbb30cd09
15290ecb4dee
hex174fbac97d

100121889149 has 2 divisors, whose sum is σ = 100121889150. Its totient is φ = 100121889148.

The previous prime is 100121889139. The next prime is 100121889151. The reversal of 100121889149 is 941988121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69187411225 + 30934477924 = 263035^2 + 175882^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100121889149 is a prime.

It is a Sophie Germain prime.

Together with 100121889151, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121889139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060944574 + 50060944575.

It is an arithmetic number, because the mean of its divisors is an integer number (50060944575).

Almost surely, 2100121889149 is an apocalyptic number.

It is an amenable number.

100121889149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121889149 is an equidigital number, since it uses as much as digits as its factorization.

100121889149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 44.

The spelling of 100121889149 in words is "one hundred billion, one hundred twenty-one million, eight hundred eighty-nine thousand, one hundred forty-nine".