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10110412312 = 237111317233229
BaseRepresentation
bin10010110101010000…
…01010011000011000
3222002121112011100021
421122220022120120
5131201231143222
64351125120224
7505355041510
oct113250123030
928077464307
1010110412312
114319078460
121b61b59074
13c518383c0
146bcaa4840
153e291cac7
hex25aa0a618

10110412312 has 256 divisors, whose sum is σ = 28130457600. Its totient is φ = 3272417280.

The previous prime is 10110412309. The next prime is 10110412321. The reversal of 10110412312 is 21321401101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3129514 + ... + 3132742.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 210110412312 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 10110412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

10110412312 is an abundant number, since it is smaller than the sum of its proper divisors (18020045288).

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

10110412312 is a wasteful number, since it uses less digits than its factorization.

10110412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10110412312 its reverse (21321401101), we get a palindrome (31431813413).

The spelling of 10110412312 in words is "ten billion, one hundred ten million, four hundred twelve thousand, three hundred twelve".