Search a number
-
+
10123002300 = 2235233743341
BaseRepresentation
bin10010110110110000…
…01100000110111100
3222010111012210120010
421123120030012330
5131212442033200
64352255023220
7505600046145
oct113330140674
928114183503
1010123002300
114325197504
121b6620ab10
13c54325ab8
146c0620acc
153e3aa8150
hex25b60c1bc

10123002300 has 36 divisors (see below), whose sum is σ = 29289220856. Its totient is φ = 2699467200.

The previous prime is 10123002271. The next prime is 10123002301. The reversal of 10123002300 is 320032101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123002301) 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, 16871371 + ... + 16871970.

Almost surely, 210123002300 is an apocalyptic number.

10123002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123002300 is an abundant number, since it is smaller than the sum of its proper divisors (19166218556).

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

10123002300 is a wasteful number, since it uses less digits than its factorization.

10123002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33743358 (or 33743351 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10123002300 its reverse (320032101), we get a palindrome (10443034401).

It can be divided in two parts, 1012300 and 2300, that added together give a triangular number (1014600 = T1424).

The spelling of 10123002300 in words is "ten billion, one hundred twenty-three million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 33743341 67486682 101230023 134973364 168716705 202460046 337433410 404920092 506150115 674866820 843583525 1012300230 1687167050 2024600460 2530750575 3374334100 5061501150 10123002300