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111145706865 = 3253137891069
BaseRepresentation
bin110011110000011001…
…1001110010101110001
3101121212221020220201200
41213200303032111301
53310111300104430
6123020514121413
711013202630464
oct1474063162561
9347787226650
10111145706865
1143155943696
121965a580269
13a633991b6b
14554541d2db
152d579ab460
hex19e0cce571

111145706865 has 24 divisors (see below), whose sum is σ = 193268086440. Its totient is φ = 59088317184.

The previous prime is 111145706827. The next prime is 111145706879. The reversal of 111145706865 is 568607541111.

111145706865 is a `hidden beast` number, since 1 + 1 + 1 + 14 + 570 + 6 + 8 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 815409 + 111144891456 = 903^2 + 333384^2 .

It is not a de Polignac number, because 111145706865 - 210 = 111145705841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 111145706865.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3931450 + ... + 3959619.

It is an arithmetic number, because the mean of its divisors is an integer number (8052836935).

Almost surely, 2111145706865 is an apocalyptic number.

111145706865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111145706865 is a deficient number, since it is larger than the sum of its proper divisors (82122379575).

111145706865 is a wasteful number, since it uses less digits than its factorization.

111145706865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891393 (or 7891390 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 111145706865 in words is "one hundred eleven billion, one hundred forty-five million, seven hundred six thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 45 313 939 1565 2817 4695 14085 7891069 23673207 39455345 71019621 118366035 355098105 2469904597 7409713791 12349522985 22229141373 37048568955 111145706865