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BaseRepresentation
bin10110111111010111000011…
…110011001110010000101001
3111021000010110002222212001222
4112333113003303032100221
5101223101023141200014
6555013445220151425
730204015365152022
oct2677270363162051
9437003402885058
10101111110100009
112a242a877657a9
12b410016238575
1344559768b7599
15ba51ea80c08e
hex5bf5c3cce429

101111110100009 has 2 divisors, whose sum is σ = 101111110100010. Its totient is φ = 101111110100008.

The previous prime is 101111110099981. The next prime is 101111110100029. The reversal of 101111110100009 is 900001011111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69641478451609 + 31469631648400 = 8345147^2 + 5609780^2 .

It is an emirp because it is prime and its reverse (900001011111101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101111110100009 is a prime.

It is a super-3 number, since 3×1011111101000093 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101111110100009.

It is not a weakly prime, because it can be changed into another prime (101111110100029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555050004 + 50555555050005.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555050005).

Almost surely, 2101111110100009 is an apocalyptic number.

It is an amenable number.

101111110100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111110100009 is an equidigital number, since it uses as much as digits as its factorization.

101111110100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101111110100009 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, nine".