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20231040400 = 24521721961151
BaseRepresentation
bin10010110101110111…
…010010110110010000
31221012221021100002121
4102311313102312100
5312413121243100
613143301224024
71314226002034
oct226567226620
957187240077
1020231040400
1186419930aa
123b07402014
131ba550c62c
14d9cc681c4
157d61a751a
hex4b5dd2d90

20231040400 has 360 divisors, whose sum is σ = 55606688960. Its totient is φ = 7050240000.

The previous prime is 20231040371. The next prime is 20231040421. The reversal of 20231040400 is 404013202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133980325 + ... + 133980475.

Almost surely, 220231040400 is an apocalyptic number.

20231040400 is a gapful number since it is divisible by the number (20) 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 20231040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27803344480).

20231040400 is an abundant number, since it is smaller than the sum of its proper divisors (35375648560).

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

20231040400 is a wasteful number, since it uses less digits than its factorization.

20231040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20231040400 its reverse (404013202), we get a palindrome (20635053602).

The spelling of 20231040400 in words is "twenty billion, two hundred thirty-one million, forty thousand, four hundred".