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100100100111113 is a prime number
BaseRepresentation
bin10110110000101001011110…
…111010001011101100001001
3111010102110212002100001011102
4112300221132322023230021
5101110020001112023423
6552521203503311145
730040664540065004
oct2660513672135411
9433373762301142
10100100100111113
11299932399aa233
12b2880a0bab4b5
1343b152560791b
141aa0c2929253b
15b88c776d1c28
hex5b0a5ee8bb09

100100100111113 has 2 divisors, whose sum is σ = 100100100111114. Its totient is φ = 100100100111112.

The previous prime is 100100100111019. The next prime is 100100100111127. The reversal of 100100100111113 is 311111001001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93019620830224 + 7080479280889 = 9644668^2 + 2660917^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100111113 - 210 = 100100100110089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100100111094 and 100100100111103.

It is not a weakly prime, because it can be changed into another prime (100100100111163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050055556 + 50050050055557.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050055557).

Almost surely, 2100100100111113 is an apocalyptic number.

It is an amenable number.

100100100111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100111113 is an equidigital number, since it uses as much as digits as its factorization.

100100100111113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 100100100111113 its reverse (311111001001001), we get a palindrome (411211101112114).

The spelling of 100100100111113 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred thirteen".