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204323032401000 = 23353897307104729
BaseRepresentation
bin101110011101010010101001…
…110001000000010001101000
3222210110002110102202222122120
4232131102221301000101220
5203240112032243313000
62002320412200551240
761015565134401402
oct5635225161002150
9883402412688576
10204323032401000
115a115a03110a67
121aabb20a182520
138a0176b8ab156
143865404dc9b72
151894d9e7b86a0
hexb9d4a9c40468

204323032401000 has 256 divisors, whose sum is σ = 644745026016000. Its totient is φ = 53866050867200.

The previous prime is 204323032400857. The next prime is 204323032401029. The reversal of 204323032401000 is 104230323402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1950916636 + ... + 1951021364.

It is an arithmetic number, because the mean of its divisors is an integer number (2518535257875).

Almost surely, 2204323032401000 is an apocalyptic number.

204323032401000 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 204323032401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322372513008000).

204323032401000 is an abundant number, since it is smaller than the sum of its proper divisors (440421993615000).

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

204323032401000 is a wasteful number, since it uses less digits than its factorization.

204323032401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112149 (or 112135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 204323032401000 its reverse (104230323402), we get a palindrome (204427262724402).

The spelling of 204323032401000 in words is "two hundred four trillion, three hundred twenty-three billion, thirty-two million, four hundred one thousand".