Search a number
-
+
10112132170 = 257413523391
BaseRepresentation
bin10010110101011101…
…01110010001001010
3222002201202112112201
421122232232101022
5131202201212140
64351230030414
7505405463620
oct113256562112
928081675481
1010112132170
11431a042628
121b6264840a
13c51cbb17a
146bcdd1510
153e2b5c49a
hex25abae44a

10112132170 has 32 divisors (see below), whose sum is σ = 21309474816. Its totient is φ = 3382454400.

The previous prime is 10112132159. The next prime is 10112132171. The reversal of 10112132170 is 7123121101.

10112132170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10112132171) 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, 1758826 + ... + 1764565.

It is an arithmetic number, because the mean of its divisors is an integer number (665921088).

Almost surely, 210112132170 is an apocalyptic number.

10112132170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112132170 is an abundant number, since it is smaller than the sum of its proper divisors (11197342646).

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

10112132170 is a wasteful number, since it uses less digits than its factorization.

10112132170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523446.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10112132170 its reverse (7123121101), we get a palindrome (17235253271).

The spelling of 10112132170 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, one hundred seventy".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 2870 3523391 7046782 17616955 24663737 35233910 49327474 123318685 144459031 246637370 288918062 722295155 1011213217 1444590310 2022426434 5056066085 10112132170