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101307856901 is a prime number
BaseRepresentation
bin101111001011001101…
…0110011100000000101
3100200111022121100122012
41132112122303200011
53124434302410101
6114312402544005
710214334401246
oct1362632634005
9320438540565
10101307856901
1139a6770a379
1217773968005
139726768974
144c90a28ccd
15297de7cbbb
hex17966b3805

101307856901 has 2 divisors, whose sum is σ = 101307856902. Its totient is φ = 101307856900.

The previous prime is 101307856843. The next prime is 101307856931. The reversal of 101307856901 is 109658703101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68644524001 + 32663332900 = 262001^2 + 180730^2 .

It is an emirp because it is prime and its reverse (109658703101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101307856901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101307856931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50653928450 + 50653928451.

It is an arithmetic number, because the mean of its divisors is an integer number (50653928451).

Almost surely, 2101307856901 is an apocalyptic number.

It is an amenable number.

101307856901 is a deficient number, since it is larger than the sum of its proper divisors (1).

101307856901 is an equidigital number, since it uses as much as digits as its factorization.

101307856901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 41.

The spelling of 101307856901 in words is "one hundred one billion, three hundred seven million, eight hundred fifty-six thousand, nine hundred one".