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10113314120 = 2357132778383
BaseRepresentation
bin10010110101100110…
…01110110101001000
3222002210222120212122
421122303032311020
5131203002022440
64351311230412
7505421515550
oct113263166510
928083876778
1010113314120
11431a77a648
121b62b18408
13c52313150
146bd21c160
153e2ce27b5
hex25acced48

10113314120 has 64 divisors (see below), whose sum is σ = 28006110720. Its totient is φ = 3200696064.

The previous prime is 10113314069. The next prime is 10113314131. The reversal of 10113314120 is 2141331101.

10113314120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 1385552 + ... + 1392831.

It is an arithmetic number, because the mean of its divisors is an integer number (437595480).

Almost surely, 210113314120 is an apocalyptic number.

10113314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113314120 is an abundant number, since it is smaller than the sum of its proper divisors (17892796600).

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

10113314120 is a wasteful number, since it uses less digits than its factorization.

10113314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778414 (or 2778410 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10113314120 its reverse (2141331101), we get a palindrome (12254645221).

The spelling of 10113314120 in words is "ten billion, one hundred thirteen million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 2778383 5556766 11113532 13891915 19448681 22227064 27783830 36118979 38897362 55567660 72237958 77794724 97243405 111135320 144475916 155589448 180594895 194486810 252832853 288951832 361189790 388973620 505665706 722379580 777947240 1011331412 1264164265 1444759160 2022662824 2528328530 5056657060 10113314120