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10110131112 = 233437396331
BaseRepresentation
bin10010110101001110…
…00101101110101000
3222002120222212121110
421122213011232220
5131201143143422
64351115110320
7505352460624
oct113247055650
928076885543
1010110131112
1143189a6164
121b61a423a0
13c5176a403
146bca30184
153e28b460c
hex25a9c5ba8

10110131112 has 32 divisors (see below), whose sum is σ = 25281370080. Its totient is φ = 3369238080.

The previous prime is 10110131111. The next prime is 10110131117. The reversal of 10110131112 is 21113101101.

10110131112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101101311122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10110131111) 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, 56787 + ... + 153117.

It is an arithmetic number, because the mean of its divisors is an integer number (790042815).

Almost surely, 210110131112 is an apocalyptic number.

10110131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110131112 is an abundant number, since it is smaller than the sum of its proper divisors (15171238968).

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

10110131112 is a wasteful number, since it uses less digits than its factorization.

10110131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100713 (or 100709 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10110131112 its reverse (21113101101), we get a palindrome (31223232213).

The spelling of 10110131112 in words is "ten billion, one hundred ten million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 4373 8746 13119 17492 26238 34984 52476 96331 104952 192662 288993 385324 577986 770648 1155972 2311944 421255463 842510926 1263766389 1685021852 2527532778 3370043704 5055065556 10110131112