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10112110100 = 22523111328867
BaseRepresentation
bin10010110101011101…
…01000111000010100
3222002201201102021022
421122232220320110
5131202200010400
64351225340312
7505405342361
oct113256507024
928081642238
1010112110100
11431a027a94
121b62637698
13c51cb1101
146bcdc7468
153e2b55b85
hex25aba8e14

10112110100 has 72 divisors (see below), whose sum is σ = 22852370688. Its totient is φ = 3879590400.

The previous prime is 10112110097. The next prime is 10112110111. The reversal of 10112110100 is 101121101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335867 + ... + 364733.

Almost surely, 210112110100 is an apocalyptic number.

10112110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426185344).

10112110100 is an abundant number, since it is smaller than the sum of its proper divisors (12740260588).

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

10112110100 is a wasteful number, since it uses less digits than its factorization.

10112110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29025 (or 29018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10112110100 its reverse (101121101), we get a palindrome (10213231201).

10112110100 divided by its reverse (101121101) gives a square (100 = 102).

The spelling of 10112110100 in words is "ten billion, one hundred twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 113 124 155 226 310 452 565 620 775 1130 1550 2260 2825 3100 3503 5650 7006 11300 14012 17515 28867 35030 57734 70060 87575 115468 144335 175150 288670 350300 577340 721675 894877 1443350 1789754 2886700 3261971 3579508 4474385 6523942 8948770 13047884 16309855 17897540 22371925 32619710 44743850 65239420 81549275 89487700 101121101 163098550 202242202 326197100 404484404 505605505 1011211010 2022422020 2528027525 5056055050 10112110100