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23151302400 = 283521963463
BaseRepresentation
bin10101100011111011…
…001101011100000000
32012202110021000110110
4111203323031130000
5334403213134100
614345140431320
71446465552312
oct254373153400
965673230413
1023151302400
119900341176
1245a13a8540
13224c525b05
141198a357b2
1590774a250
hex563ecd700

23151302400 has 216 divisors, whose sum is σ = 80426657920. Its totient is φ = 5848657920.

The previous prime is 23151302399. The next prime is 23151302411. The reversal of 23151302400 is 420315132.

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, 333069 + ... + 396531.

Almost surely, 223151302400 is an apocalyptic number.

23151302400 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 23151302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40213328960).

23151302400 is an abundant number, since it is smaller than the sum of its proper divisors (57275355520).

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

23151302400 is a wasteful number, since it uses less digits than its factorization.

23151302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63511 (or 63492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 23151302400 its reverse (420315132), we get a palindrome (23571617532).

The spelling of 23151302400 in words is "twenty-three billion, one hundred fifty-one million, three hundred two thousand, four hundred".