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20323310400 = 263352470447
BaseRepresentation
bin10010111011010111…
…010001101101000000
31221110100220010202000
4102323113101231000
5313110231413100
613200355024000
71316426200551
oct227327215500
957410803660
1020323310400
118689a849a8
123b3229b000
131bbb677873
14dab206328
157de331900
hex4bb5d1b40

20323310400 has 168 divisors, whose sum is σ = 74086151040. Its totient is φ = 5419537920.

The previous prime is 20323310339. The next prime is 20323310419. The reversal of 20323310400 is 401332302.

20323310400 is a `hidden beast` number, since 20 + 3 + 233 + 10 + 400 = 666.

It is a super-2 number, since 2×203233104002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 192024 + ... + 278423.

Almost surely, 220323310400 is an apocalyptic number.

20323310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20323310400 is an abundant number, since it is smaller than the sum of its proper divisors (53762840640).

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

20323310400 is a wasteful number, since it uses less digits than its factorization.

20323310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470478 (or 470457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20323310400 its reverse (401332302), we get a palindrome (20724642702).

The spelling of 20323310400 in words is "twenty billion, three hundred twenty-three million, three hundred ten thousand, four hundred".