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10110031032 = 2331535927427
BaseRepresentation
bin10010110101001101…
…01101010010111000
3222002120210210022210
421122212231102320
5131201131443112
64351113015120
7505351563063
oct113246552270
928076723283
1010110031032
114318937a52
121b619b44a0
13c517339aa
146bca058da
153e2894b3c
hex25a9ad4b8

10110031032 has 32 divisors (see below), whose sum is σ = 25277644800. Its totient is φ = 3369668064.

The previous prime is 10110031031. The next prime is 10110031051. The reversal of 10110031032 is 23013001101.

10110031032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10110030999 and 10110031017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110031031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354903 + ... + 382329.

It is an arithmetic number, because the mean of its divisors is an integer number (789926400).

Almost surely, 210110031032 is an apocalyptic number.

10110031032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110031032 is an abundant number, since it is smaller than the sum of its proper divisors (15167613768).

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

10110031032 is a wasteful number, since it uses less digits than its factorization.

10110031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42795 (or 42791 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10110031032 its reverse (23013001101), we get a palindrome (33123032133).

The spelling of 10110031032 in words is "ten billion, one hundred ten million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 15359 27427 30718 46077 54854 61436 82281 92154 109708 122872 164562 184308 219416 329124 368616 658248 421251293 842502586 1263753879 1685005172 2527507758 3370010344 5055015516 10110031032