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110113032114 = 232316115312113
BaseRepresentation
bin110011010001100111…
…1111000011110110010
3101112012222002121021200
41212203033320132302
53301002414011424
6122330224232030
710645463221101
oct1464317703662
9345188077250
10110113032114
1142775a32888
121941076b616
13a4caa54407
145488208038
152ce6ec38c9
hex19a33f87b2

110113032114 has 96 divisors (see below), whose sum is σ = 250593627648. Its totient is φ = 34898688000.

The previous prime is 110113032091. The next prime is 110113032119. The reversal of 110113032114 is 411230311011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110113032119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52111122 + ... + 52113234.

It is an arithmetic number, because the mean of its divisors is an integer number (2610350288).

Almost surely, 2110113032114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110113032114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125296813824).

110113032114 is an abundant number, since it is smaller than the sum of its proper divisors (140480595534).

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

110113032114 is a wasteful number, since it uses less digits than its factorization.

110113032114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110113032114 its reverse (411230311011), we get a palindrome (521343343125).

The spelling of 110113032114 in words is "one hundred ten billion, one hundred thirteen million, thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1531 1891 2113 3062 3782 4226 4593 5673 6339 9186 11346 12678 13779 17019 19017 27558 34038 38034 47461 65503 93391 94922 128893 131006 142383 186782 196509 257786 280173 284766 386679 393018 427149 560346 589527 773358 840519 854298 1160037 1179054 1681038 2320074 2895121 3235003 3995683 5790242 6470006 7991366 8685363 9705009 11987049 17370726 19410018 23974098 26056089 29115027 35961147 52112178 58230054 71922294 100285093 197335183 200570186 300855279 394670366 592005549 601710558 902565837 1184011098 1776016647 1805131674 3552033294 6117390673 12234781346 18352172019 36704344038 55056516057 110113032114