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10112110112 = 251341592877
BaseRepresentation
bin10010110101011101…
…01000111000100000
3222002201201102021202
421122232220320200
5131202200010422
64351225340332
7505405342406
oct113256507040
928081642252
1010112110112
11431a027aa5
121b626376a8
13c51cb1110
146bcdc7476
153e2b55b92
hex25aba8e20

10112110112 has 48 divisors (see below), whose sum is σ = 21962572632. Its totient is φ = 4553287680.

The previous prime is 10112110111. The next prime is 10112110133. The reversal of 10112110112 is 21101121101.

It can be written as a sum of positive squares in 4 ways, for example, as 2479641616 + 7632468496 = 49796^2 + 87364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10112110093 and 10112110102.

It is not an unprimeable number, because it can be changed into a prime (10112110111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279383 + ... + 313494.

Almost surely, 210112110112 is an apocalyptic number.

It is an amenable number.

10112110112 is an abundant number, since it is smaller than the sum of its proper divisors (11850462520).

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

10112110112 is a wasteful number, since it uses less digits than its factorization.

10112110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592941 (or 592933 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10112110112 its reverse (21101121101), we get a palindrome (31213231213).

The spelling of 10112110112 in words is "ten billion, one hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 592877 1185754 2371508 4743016 7707401 9486032 15414802 18972064 24307957 30829604 48615914 61659208 97231828 123318416 194463656 246636832 316003441 388927312 632006882 777854624 1264013764 2528027528 5056055056 10112110112