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10112113320 = 2335372277503
BaseRepresentation
bin10010110101011101…
…01001101010101000
3222002201201120200120
421122232221222220
5131202200111240
64351225403240
7505405354641
oct113256515250
928081646616
1010112113320
11431a02a451
121b62639520
13c51cb270a
146bcdc86c8
153e2b56ad0
hex25aba9aa8

10112113320 has 64 divisors (see below), whose sum is σ = 31156254720. Its totient is φ = 2623682304.

The previous prime is 10112113313. The next prime is 10112113321. The reversal of 10112113320 is 2331121101.

It is a happy number.

10112113320 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10112113320.

It is not an unprimeable number, because it can be changed into a prime (10112113321) 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 15 ways as a sum of consecutive naturals, for example, 1134312 + ... + 1143191.

It is an arithmetic number, because the mean of its divisors is an integer number (486816480).

Almost surely, 210112113320 is an apocalyptic number.

10112113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112113320 is an abundant number, since it is smaller than the sum of its proper divisors (21044141400).

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

10112113320 is a wasteful number, since it uses less digits than its factorization.

10112113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277554 (or 2277550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10112113320 its reverse (2331121101), we get a palindrome (12443234421).

The spelling of 10112113320 in words is "ten billion, one hundred twelve million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 2277503 4555006 6832509 9110012 11387515 13665018 18220024 22775030 27330036 34162545 45550060 54660072 68325090 84267611 91100120 136650180 168535222 252802833 273300360 337070444 421338055 505605666 674140888 842676110 1011211332 1264014165 1685352220 2022422664 2528028330 3370704440 5056056660 10112113320