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110000110116 = 22313829385027
BaseRepresentation
bin110011001110010000…
…1000111101000100100
3101111221002121120102110
41212130201013220210
53300240012010431
6122311112041020
710642622336331
oct1463441075044
9344832546373
10110000110116
1142718215916
121939a993170
13a4b0538070
145477211988
152cdc11a346
hex199c847a24

110000110116 has 48 divisors (see below), whose sum is σ = 276447114944. Its totient is φ = 33841708416.

The previous prime is 110000110097. The next prime is 110000110117. The reversal of 110000110116 is 611011000011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110000110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251195 + ... + 1336221.

Almost surely, 2110000110116 is an apocalyptic number.

It is an amenable number.

110000110116 is an abundant number, since it is smaller than the sum of its proper divisors (166447004828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110000110116 is a wasteful number, since it uses less digits than its factorization.

110000110116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93340 (or 93338 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 110000110116 its reverse (611011000011), we get a palindrome (721011110127).

It can be divided in two parts, 110000 and 110116, that added together give a triangular number (220116 = T663).

The spelling of 110000110116 in words is "one hundred ten billion, one hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 8293 16586 24879 33172 49758 85027 99516 107809 170054 215618 255081 323427 340108 431236 510162 646854 1020324 1105351 1293708 2210702 3316053 4421404 6632106 13264212 705128911 1410257822 2115386733 2820515644 4230773466 8461546932 9166675843 18333351686 27500027529 36666703372 55000055058 110000110116