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204002130420 = 223551144761
BaseRepresentation
bin1011110111111101111…
…0010111100111110100
3201111120020222222100000
42331333132113213310
511320244021133140
6233414533351300
720511235332504
oct2757736274764
9644506888300
10204002130420
1179575980000
1233653a98530
131631150849a
149c3382ba04
15548e9baa30
hex2f7f7979f4

204002130420 has 720 divisors, whose sum is σ = 732730602240. Its totient is φ = 47609337600.

The previous prime is 204002130407. The next prime is 204002130443. The reversal of 204002130420 is 24031200402.

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

It is a junction number, because it is equal to n+sod(n) for n = 204002130393 and 204002130402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3344297190 + ... + 3344297250.

It is an arithmetic number, because the mean of its divisors is an integer number (1017681392).

Almost surely, 2204002130420 is an apocalyptic number.

204002130420 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 204002130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366365301120).

204002130420 is an abundant number, since it is smaller than the sum of its proper divisors (528728471820).

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

204002130420 is an equidigital number, since it uses as much as digits as its factorization.

204002130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 204002130420 its reverse (24031200402), we get a palindrome (228033330822).

The spelling of 204002130420 in words is "two hundred four billion, two million, one hundred thirty thousand, four hundred twenty".