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10104433400 = 235250522167
BaseRepresentation
bin10010110100100010…
…10110101011111000
3222002012021101211002
421122101112223320
5131143213332100
64350353024132
7505253160335
oct113221265370
928065241732
1010104433400
114315764406
121b5bb55048
13c50523b99
146bbd8998c
153e213b2d5
hex25a456af8

10104433400 has 24 divisors (see below), whose sum is σ = 23492808120. Its totient is φ = 4041773280.

The previous prime is 10104433387. The next prime is 10104433403. The reversal of 10104433400 is 433440101.

It is a happy number.

10104433400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104433403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25260884 + ... + 25261283.

It is an arithmetic number, because the mean of its divisors is an integer number (978867005).

Almost surely, 210104433400 is an apocalyptic number.

10104433400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104433400 is an abundant number, since it is smaller than the sum of its proper divisors (13388374720).

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

10104433400 is a wasteful number, since it uses less digits than its factorization.

10104433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50522183 (or 50522174 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10104433400 its reverse (433440101), we get a palindrome (10537873501).

The spelling of 10104433400 in words is "ten billion, one hundred four million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50522167 101044334 202088668 252610835 404177336 505221670 1010443340 1263054175 2020886680 2526108350 5052216700 10104433400