Search a number
-
+
10123003300 = 2252113895841
BaseRepresentation
bin10010110110110000…
…01100010110100100
3222010111012211221011
421123120030112210
5131212442101200
64352255032004
7505600052104
oct113330142644
928114184834
1010123003300
114325198233
121b6620b604
13c543263a7
146c0621204
153e3aa85ba
hex25b60c5a4

10123003300 has 36 divisors (see below), whose sum is σ = 22161339396. Its totient is φ = 4013363200.

The previous prime is 10123003229. The next prime is 10123003301. The reversal of 10123003300 is 330032101.

It can be written as a sum of positive squares in 6 ways, for example, as 1560092004 + 8562911296 = 39498^2 + 92536^2 .

It is not an unprimeable number, because it can be changed into a prime (10123003301) 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, 436621 + ... + 459220.

It is an arithmetic number, because the mean of its divisors is an integer number (615592761).

Almost surely, 210123003300 is an apocalyptic number.

10123003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123003300 is an abundant number, since it is smaller than the sum of its proper divisors (12038336096).

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

10123003300 is a wasteful number, since it uses less digits than its factorization.

10123003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895968 (or 895961 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10123003300 its reverse (330032101), we get a palindrome (10453035401).

The spelling of 10123003300 in words is "ten billion, one hundred twenty-three million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 895841 1791682 3583364 4479205 8958410 17916820 22396025 44792050 89584100 101230033 202460066 404920132 506150165 1012300330 2024600660 2530750825 5061501650 10123003300