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101111209957 is a prime number
BaseRepresentation
bin101111000101010110…
…0101001111111100101
3100122222121120122202001
41132022230221333211
53124033432204312
6114241100045301
710206426050452
oct1361254517745
9318877518661
10101111209957
113997670763a
1217719b33831
1396c4ab6924
144c7287a829
15296ba87057
hex178ab29fe5

101111209957 has 2 divisors, whose sum is σ = 101111209958. Its totient is φ = 101111209956.

The previous prime is 101111209931. The next prime is 101111210051. The reversal of 101111209957 is 759902111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97994667681 + 3116542276 = 313041^2 + 55826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101111209957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111209057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555604978 + 50555604979.

It is an arithmetic number, because the mean of its divisors is an integer number (50555604979).

Almost surely, 2101111209957 is an apocalyptic number.

It is an amenable number.

101111209957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111209957 is an equidigital number, since it uses as much as digits as its factorization.

101111209957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 37.

The spelling of 101111209957 in words is "one hundred one billion, one hundred eleven million, two hundred nine thousand, nine hundred fifty-seven".