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10304421400 = 23527131793163
BaseRepresentation
bin10011001100011000…
…01111111000011000
3222121010120211210001
421212030033320120
5132100412441100
64422255302344
7513232064620
oct114614177030
928533524701
1010304421400
114408639349
121bb6b1a9b4
13c82aa5890
146da767880
15404991d6a
hex26630fe18

10304421400 has 192 divisors, whose sum is σ = 29660601600. Its totient is φ = 3241935360.

The previous prime is 10304421377. The next prime is 10304421409. The reversal of 10304421400 is 412440301.

It is a super-2 number, since 2×103044214002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304421409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3256219 + ... + 3259381.

It is an arithmetic number, because the mean of its divisors is an integer number (154482300).

Almost surely, 210304421400 is an apocalyptic number.

10304421400 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 10304421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830300800).

10304421400 is an abundant number, since it is smaller than the sum of its proper divisors (19356180200).

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

10304421400 is a wasteful number, since it uses less digits than its factorization.

10304421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10304421400 its reverse (412440301), we get a palindrome (10716861701).

The spelling of 10304421400 in words is "ten billion, three hundred four million, four hundred twenty-one thousand, four hundred".