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10111101000109 is a prime number
BaseRepresentation
bin1001001100100010110010…
…0101010101100110101101
31022210121112000100211102021
42103020230211111212231
52311130013324000414
633300550425030141
72062334336304514
oct223105445254655
938717460324367
1010111101000109
113249103a1187a
121173723325351
1358461b796385
1426d54663167b
1512802da1cc24
hex9322c9559ad

10111101000109 has 2 divisors, whose sum is σ = 10111101000110. Its totient is φ = 10111101000108.

The previous prime is 10111101000101. The next prime is 10111101000137. The reversal of 10111101000109 is 90100010111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9605753469225 + 505347530884 = 3099315^2 + 710878^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111101000109 - 23 = 10111101000101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111101000092 and 10111101000101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111101000101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055550500054 + 5055550500055.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550500055).

Almost surely, 210111101000109 is an apocalyptic number.

It is an amenable number.

10111101000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101000109 is an equidigital number, since it uses as much as digits as its factorization.

10111101000109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 10111101000109 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred nine", and thus it is an aban number.