Search a number
-
+
10109202120 = 2332528081117
BaseRepresentation
bin10010110101000111…
…00010111011001000
3222002112020200021100
421122203202323020
5131200423431440
64351043141400
7505341541323
oct113243427310
928075220240
1010109202120
1143184211a6
121b61674860
13c51503604
146bc86b7ba
153e277e230
hex25a8e2ec8

10109202120 has 48 divisors (see below), whose sum is σ = 32854908060. Its totient is φ = 2695787136.

The previous prime is 10109202107. The next prime is 10109202127. The reversal of 10109202120 is 2120290101.

It can be written as a sum of positive squares in 2 ways, for example, as 9409388004 + 699814116 = 97002^2 + 26454^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10109202093 and 10109202102.

It is not an unprimeable number, because it can be changed into a prime (10109202127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14040199 + ... + 14040918.

Almost surely, 210109202120 is an apocalyptic number.

10109202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10109202120 is an abundant number, since it is smaller than the sum of its proper divisors (22745705940).

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

10109202120 is a wasteful number, since it uses less digits than its factorization.

10109202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28081134 (or 28081127 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10109202120 its reverse (2120290101), we get a palindrome (12229492221).

The spelling of 10109202120 in words is "ten billion, one hundred nine million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28081117 56162234 84243351 112324468 140405585 168486702 224648936 252730053 280811170 336973404 421216755 505460106 561622340 673946808 842433510 1010920212 1123244680 1263650265 1684867020 2021840424 2527300530 3369734040 5054601060 10109202120