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110995144 = 23132531549
BaseRepresentation
bin1101001110110…
…10011011001000
321201212010201021
412213122123020
5211403321034
615003002224
72515305001
oct647323310
9251763637
10110995144
1157721327
1231209374
1319cc3300
1410a541a8
159b276b4
hex69da6c8

110995144 has 48 divisors (see below), whose sum is σ = 229756500. Its totient is φ = 50229504.

The previous prime is 110995133. The next prime is 110995163. The reversal of 110995144 is 441599011.

It can be written as a sum of positive squares in 6 ways, for example, as 19027044 + 91968100 = 4362^2 + 9590^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70882 + ... + 72430.

Almost surely, 2110995144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110995144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114878250).

110995144 is an abundant number, since it is smaller than the sum of its proper divisors (118761356).

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

110995144 is a wasteful number, since it uses less digits than its factorization.

110995144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 110995144 is about 10535.4232947708. The cubic root of 110995144 is about 480.5825450315.

The spelling of 110995144 in words is "one hundred ten million, nine hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 1549 2756 3098 5512 6196 8957 12392 17914 20137 35828 40274 71656 80548 82097 161096 164194 261781 328388 523562 656776 1047124 1067261 2094248 2134522 4269044 8538088 13874393 27748786 55497572 110995144