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100123434457 is a prime number
BaseRepresentation
bin101110100111111010…
…0100101110111011001
3100120102202220110111021
41131033310211313121
53120023044400312
6113555052402441
710143103102504
oct1351764456731
9316382813437
10100123434457
113950a083252
12174a3176421
139598269997
144bbb5d213b
15290eebcc07
hex174fd25dd9

100123434457 has 2 divisors, whose sum is σ = 100123434458. Its totient is φ = 100123434456.

The previous prime is 100123434431. The next prime is 100123434461. The reversal of 100123434457 is 754434321001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95735166921 + 4388267536 = 309411^2 + 66244^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123434457 - 27 = 100123434329 is a prime.

It is not a weakly prime, because it can be changed into another prime (100123434497) 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, 50061717228 + 50061717229.

It is an arithmetic number, because the mean of its divisors is an integer number (50061717229).

Almost surely, 2100123434457 is an apocalyptic number.

It is an amenable number.

100123434457 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123434457 is an equidigital number, since it uses as much as digits as its factorization.

100123434457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 100123434457 its reverse (754434321001), we get a palindrome (854557755458).

The spelling of 100123434457 in words is "one hundred billion, one hundred twenty-three million, four hundred thirty-four thousand, four hundred fifty-seven".