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10110340314 = 2325310597841
BaseRepresentation
bin10010110101001111…
…11000110011011010
3222002121101111120200
421122213320303122
5131201221342224
64351123403030
7505354321554
oct113247706332
928077344520
1010110340314
114319029358
121b61b23476
13c518116b9
146bca864d4
153e29065c9
hex25a9f8cda

10110340314 has 24 divisors (see below), whose sum is σ = 22319055252. Its totient is φ = 3306526080.

The previous prime is 10110340309. The next prime is 10110340321. The reversal of 10110340314 is 41304301101.

10110340314 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 340 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8859515625 + 1250824689 = 94125^2 + 35367^2 .

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

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 5297967 + ... + 5299874.

Almost surely, 210110340314 is an apocalyptic number.

10110340314 is an abundant number, since it is smaller than the sum of its proper divisors (12208714938).

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

10110340314 is a wasteful number, since it uses less digits than its factorization.

10110340314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597902 (or 10597899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10110340314 its reverse (41304301101), we get a palindrome (51414641415).

The spelling of 10110340314 in words is "ten billion, one hundred ten million, three hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 10597841 21195682 31793523 63587046 95380569 190761138 561685573 1123371146 1685056719 3370113438 5055170157 10110340314