Search a number
-
+
10044402300 = 22335229163787
BaseRepresentation
bin10010101101011000…
…10110101001111100
3221221000022111122000
421112230112221330
5131032331333200
64340410222300
7503624003502
oct112654265174
927830274560
1010044402300
114294892129
121b43a24990
13c40c65a1a
146b4000672
153dbc2e300
hex256b16a7c

10044402300 has 288 divisors, whose sum is σ = 33652012800. Its totient is φ = 2567013120.

The previous prime is 10044402259. The next prime is 10044402301. The reversal of 10044402300 is 320444001.

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 (10044402301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12762507 + ... + 12763293.

Almost surely, 210044402300 is an apocalyptic number.

10044402300 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 10044402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826006400).

10044402300 is an abundant number, since it is smaller than the sum of its proper divisors (23607610500).

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

10044402300 is a wasteful number, since it uses less digits than its factorization.

10044402300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10044402300 its reverse (320444001), we get a palindrome (10364846301).

The spelling of 10044402300 in words is "ten billion, forty-four million, four hundred two thousand, three hundred".