Search a number
-
+
10223313300 = 22325231616007
BaseRepresentation
bin10011000010101101…
…10110000110010100
3222101110222010101100
421201112312012110
5131414132011200
64410241030100
7511225505064
oct114126660624
928343863340
1010223313300
114376880662
121b93925330
13c6c048015
146cda933a4
153ec7bed00
hex2615b6194

10223313300 has 216 divisors, whose sum is σ = 33625958912. Its totient is φ = 2594592000.

The previous prime is 10223313293. The next prime is 10223313301. The reversal of 10223313300 is 331332201.

10223313300 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 331 + 330 + 0 = 666.

It is a super-2 number, since 2×102233133002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223313301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1698897 + ... + 1704903.

Almost surely, 210223313300 is an apocalyptic number.

10223313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812979456).

10223313300 is an abundant number, since it is smaller than the sum of its proper divisors (23402645612).

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

10223313300 is a wasteful number, since it uses less digits than its factorization.

10223313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10223313300 its reverse (331332201), we get a palindrome (10554645501).

The spelling of 10223313300 in words is "ten billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred".