Search a number
-
+
110111111010009 = 3319797121319741
BaseRepresentation
bin11001000010010100111101…
…101010000101011011011001
3112102212112000122111220201000
4121002110331222011123121
5103413030023404310014
61030104202430215213
732123156656520334
oct3102247552053331
9472775018456630
10110111111010009
11320a295063559a
1210424330354509
134959582a05525
141d295988cb61b
15cae399118509
hex64253da856d9

110111111010009 has 32 divisors (see below), whose sum is σ = 164124490654080. Its totient is φ = 72959561438400.

The previous prime is 110111111010007. The next prime is 110111111010011. The reversal of 110111111010009 is 900010111111011.

It is an interprime number because it is at equal distance from previous prime (110111111010007) and next prime (110111111010011).

It is not a de Polignac number, because 110111111010009 - 21 = 110111111010007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110111111009973 and 110111111010000.

It is not an unprimeable number, because it can be changed into a prime (110111111010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5495122 + ... + 15824619.

It is an arithmetic number, because the mean of its divisors is an integer number (5128890332940).

Almost surely, 2110111111010009 is an apocalyptic number.

It is an amenable number.

110111111010009 is a deficient number, since it is larger than the sum of its proper divisors (54013379644071).

110111111010009 is a wasteful number, since it uses less digits than its factorization.

110111111010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21320918 (or 21320912 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 110111111010009 in words is "one hundred ten trillion, one hundred eleven billion, one hundred eleven million, ten thousand, nine".

Divisors: 1 3 9 27 197 591 971 1773 2913 5319 8739 26217 191287 573861 1721583 5164749 21319741 63959223 191877669 575633007 4199988977 12599966931 20701468511 37799900793 62104405533 113399702379 186313216599 558939649797 4078189296667 12234567890001 36703703670003 110111111010009