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101873894957 is a prime number
BaseRepresentation
bin101111011100000101…
…0000100011000101101
3100201221202201001212122
41132320022010120231
53132114204114312
6114444503042325
710234346551052
oct1367012043055
9321852631778
10101873894957
113a22818111a
12178b14403a5
1397b6b03123
144d05c91029
1529b39dcb72
hex17b828462d

101873894957 has 2 divisors, whose sum is σ = 101873894958. Its totient is φ = 101873894956.

The previous prime is 101873894953. The next prime is 101873894977. The reversal of 101873894957 is 759498378101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51181822756 + 50692072201 = 226234^2 + 225149^2 .

It is a cyclic number.

It is not a de Polignac number, because 101873894957 - 22 = 101873894953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101873894957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101873894953) 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 as a sum of consecutive naturals, namely, 50936947478 + 50936947479.

It is an arithmetic number, because the mean of its divisors is an integer number (50936947479).

Almost surely, 2101873894957 is an apocalyptic number.

It is an amenable number.

101873894957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101873894957 is an equidigital number, since it uses as much as digits as its factorization.

101873894957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 62.

The spelling of 101873894957 in words is "one hundred one billion, eight hundred seventy-three million, eight hundred ninety-four thousand, nine hundred fifty-seven".