Search a number
-
+
10125464120 = 2351016074129
BaseRepresentation
bin10010110111000011…
…00101001000111000
3222010122211212112122
421123201211020320
5131214104322440
64352423500412
7505630011362
oct113341451070
928118755478
1010125464120
114326619072
121b66bb7708
13c549a84b5
146c0aa1d32
153e3de27b5
hex25b865238

10125464120 has 64 divisors (see below), whose sum is σ = 23051347200. Its totient is φ = 4002508800.

The previous prime is 10125464081. The next prime is 10125464123. The reversal of 10125464120 is 2146452101.

It is a self number, because there is not a number n which added to its sum of digits gives 10125464120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125464123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2450216 + ... + 2454344.

It is an arithmetic number, because the mean of its divisors is an integer number (360177300).

Almost surely, 210125464120 is an apocalyptic number.

10125464120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125464120 is an abundant number, since it is smaller than the sum of its proper divisors (12925883080).

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

10125464120 is a wasteful number, since it uses less digits than its factorization.

10125464120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 10125464120 in words is "ten billion, one hundred twenty-five million, four hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 607 808 1010 1214 2020 2428 3035 4040 4129 4856 6070 8258 12140 16516 20645 24280 33032 41290 61307 82580 122614 165160 245228 306535 417029 490456 613070 834058 1226140 1668116 2085145 2452280 2506303 3336232 4170290 5012606 8340580 10025212 12531515 16681160 20050424 25063030 50126060 100252120 253136603 506273206 1012546412 1265683015 2025092824 2531366030 5062732060 10125464120