Search a number
-
+
204013324320030 = 2335755604904889
BaseRepresentation
bin101110011000110010001101…
…101110011011110100011110
3222202100111001100101100102000
4232120302031232123310132
5203220023242011220110
62001522232145543130
760654322235216001
oct5630621556336436
9882314040340360
10204013324320030
115a006623a64855
121aa6b195644aa6
1389ab4b26c0944
1438544247d3538
15188bcc4bb11c0
hexb98c8db9bd1e

204013324320030 has 32 divisors (see below), whose sum is σ = 544035531520800. Its totient is φ = 54403553151936.

The previous prime is 204013324320023. The next prime is 204013324320227. The reversal of 204013324320030 is 30023423310402.

204013324320030 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 332 + 4 + 320 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204013324319976 and 204013324320003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377802452175 + ... + 377802452714.

It is an arithmetic number, because the mean of its divisors is an integer number (17001110360025).

Almost surely, 2204013324320030 is an apocalyptic number.

204013324320030 is an abundant number, since it is smaller than the sum of its proper divisors (340022207200770).

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

204013324320030 is a wasteful number, since it uses less digits than its factorization.

204013324320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755604904905 (or 755604904899 counting only the distinct ones).

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

Adding to 204013324320030 its reverse (30023423310402), we get a palindrome (234036747630432).

The spelling of 204013324320030 in words is "two hundred four trillion, thirteen billion, three hundred twenty-four million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 755604904889 1511209809778 2266814714667 3778024524445 4533629429334 6800444144001 7556049048890 11334073573335 13600888288002 20401332432003 22668147146670 34002220720005 40802664864006 68004441440010 102006662160015 204013324320030