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20300300400 = 24352312292383
BaseRepresentation
bin10010111001111111…
…100000000001110000
31221101202121002221210
4102321333200001300
5313033334103100
613154213520120
71316026464162
oct227177400160
957352532853
1020300300400
118677a99176
123b26643040
131bb697c393
14da8136932
157dc2d8c50
hex4b9fe0070

20300300400 has 240 divisors, whose sum is σ = 67447746560. Its totient is φ = 5213721600.

The previous prime is 20300300393. The next prime is 20300300413. The reversal of 20300300400 is 400300302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8517609 + ... + 8519991.

Almost surely, 220300300400 is an apocalyptic number.

20300300400 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 20300300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33723873280).

20300300400 is an abundant number, since it is smaller than the sum of its proper divisors (47147446160).

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

20300300400 is a wasteful number, since it uses less digits than its factorization.

20300300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20300300400 its reverse (400300302), we get a palindrome (20700600702).

The spelling of 20300300400 in words is "twenty billion, three hundred million, three hundred thousand, four hundred".