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204003420120 = 23325566676167
BaseRepresentation
bin1011110111111110001…
…1010010011111011000
3201111120100102111110200
42331333203102133120
511320244333420440
6233415021142200
720511252313533
oct2757743223730
9644510374420
10204003420120
1179576680a75
12336543ba960
131631186a516
149c33a85a1a
15548eb72c30
hex2f7f8d27d8

204003420120 has 48 divisors (see below), whose sum is σ = 663011116560. Its totient is φ = 54400911936.

The previous prime is 204003420079. The next prime is 204003420121. The reversal of 204003420120 is 21024300402.

204003420120 is a `hidden beast` number, since 204 + 0 + 0 + 342 + 0 + 120 = 666.

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 = 204003420093 and 204003420102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204003420121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283337724 + ... + 283338443.

It is an arithmetic number, because the mean of its divisors is an integer number (13812731595).

Almost surely, 2204003420120 is an apocalyptic number.

204003420120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204003420120 is an abundant number, since it is smaller than the sum of its proper divisors (459007696440).

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

204003420120 is a wasteful number, since it uses less digits than its factorization.

204003420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566676184 (or 566676177 counting only the distinct ones).

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

Adding to 204003420120 its reverse (21024300402), we get a palindrome (225027720522).

The spelling of 204003420120 in words is "two hundred four billion, three million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 566676167 1133352334 1700028501 2266704668 2833380835 3400057002 4533409336 5100085503 5666761670 6800114004 8500142505 10200171006 11333523340 13600228008 17000285010 20400342012 22667046680 25500427515 34000570020 40800684024 51000855030 68001140040 102001710060 204003420120