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23123403203400 = 23325247613445883
BaseRepresentation
bin1010100000111110101100…
…01110111110001101001000
310000212120112201122001000200
411100133112032332031020
511012323212210002100
6121102424512332200
74604416326140133
oct520372616761510
9100776481561020
1023123403203400
117405642311a25
122715578b44060
13cb96b20a5c06
1459d27045d21a
152a175d21be00
hex1507d63be348

23123403203400 has 288 divisors, whose sum is σ = 79437908684160. Its totient is φ = 6025185630720.

The previous prime is 23123403203399. The next prime is 23123403203401. The reversal of 23123403203400 is 430230432132.

23123403203400 is a `hidden beast` number, since 2 + 3 + 1 + 234 + 0 + 3 + 20 + 3 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (23123403203399) and next prime (23123403203401).

It is not an unprimeable number, because it can be changed into a prime (23123403203401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51636859 + ... + 52082741.

It is an arithmetic number, because the mean of its divisors is an integer number (275826071820).

Almost surely, 223123403203400 is an apocalyptic number.

23123403203400 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 23123403203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39718954342080).

23123403203400 is an abundant number, since it is smaller than the sum of its proper divisors (56314505480760).

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

23123403203400 is a wasteful number, since it uses less digits than its factorization.

23123403203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446565 (or 446553 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23123403203400 its reverse (430230432132), we get a palindrome (23553633635532).

The spelling of 23123403203400 in words is "twenty-three trillion, one hundred twenty-three billion, four hundred three million, two hundred three thousand, four hundred".