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10113240112 = 243123387509
BaseRepresentation
bin10010110101100101…
…11100110000110000
3222002210211211100121
421122302330300300
5131202442140422
64351305500024
7505421060023
oct113262746060
928083754317
1010113240112
11431a729a88
121b62aa1614
13c522b8561
146bd1dd1ba
153e2cca8c7
hex25acbcc30

10113240112 has 40 divisors (see below), whose sum is σ = 20313521280. Its totient is φ = 4872445440.

The previous prime is 10113240107. The next prime is 10113240119. The reversal of 10113240112 is 21104231101.

It is a super-4 number, since 4×101132401124 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10113240119) 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, 71814 + ... + 159322.

It is an arithmetic number, because the mean of its divisors is an integer number (507838032).

Almost surely, 210113240112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113240112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10156760640).

10113240112 is an abundant number, since it is smaller than the sum of its proper divisors (10200281168).

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

10113240112 is a wasteful number, since it uses less digits than its factorization.

10113240112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87781 (or 87775 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10113240112 its reverse (21104231101), we get a palindrome (31217471213).

The spelling of 10113240112 in words is "ten billion, one hundred thirteen million, two hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 233 248 466 496 932 1864 3728 7223 14446 28892 57784 87509 115568 175018 350036 700072 1400144 2712779 5425558 10851116 20389597 21702232 40779194 43404464 81558388 163116776 326233552 632077507 1264155014 2528310028 5056620056 10113240112