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23024201200000 = 27557111357503
BaseRepresentation
bin1010011110000101111010…
…10101010111000110000000
310000112002111011120010022121
411033002331111113012000
511004212031001400000
6120545101053214024
74564305112052260
oct517027525270600
9100462434503277
1023024201200000
117377566379550
1226ba2b2491314
13cb02329c7510
1459853d3a57a0
1529dda40b0b1a
hex14f0bd557180

23024201200000 has 768 divisors, whose sum is σ = 76978553057280. Its totient is φ = 6624230400000.

The previous prime is 23024201199929. The next prime is 23024201200027. The reversal of 23024201200000 is 210242032.

It is a super-2 number, since 2×230242012000002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400371249 + ... + 400428751.

It is an arithmetic number, because the mean of its divisors is an integer number (100232490960).

Almost surely, 223024201200000 is an apocalyptic number.

23024201200000 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 23024201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38489276528640).

23024201200000 is an abundant number, since it is smaller than the sum of its proper divisors (53954351857280).

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

23024201200000 is an equidigital number, since it uses as much as digits as its factorization.

23024201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57573 (or 57541 counting only the distinct ones).

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

Adding to 23024201200000 its reverse (210242032), we get a palindrome (23024411442032).

The spelling of 23024201200000 in words is "twenty-three trillion, twenty-four billion, two hundred one million, two hundred thousand".