Search a number
-
+
204203422122 = 237424415807
BaseRepresentation
bin1011111000101101111…
…0001111000110101010
3201112002021202122122020
42332023132033012222
511321202034001442
6233450524005310
720516231310000
oct2761336170652
9645067678566
10204203422122
1179669565487
12336ab390836
13163441256bb
149c52468a70
1554a24cc9ec
hex2f8b78f1aa

204203422122 has 80 divisors (see below), whose sum is σ = 476723567232. Its totient is φ = 58309890240.

The previous prime is 204203422103. The next prime is 204203422123. The reversal of 204203422122 is 221224302402.

It is a junction number, because it is equal to n+sod(n) for n = 204203422092 and 204203422101.

It is not an unprimeable number, because it can be changed into a prime (204203422123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35162143 + ... + 35167949.

Almost surely, 2204203422122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204203422122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238361783616).

204203422122 is an abundant number, since it is smaller than the sum of its proper divisors (272520145110).

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

204203422122 is an equidigital number, since it uses as much as digits as its factorization.

204203422122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204203422122 its reverse (221224302402), we get a palindrome (425427724524).

The spelling of 204203422122 in words is "two hundred four billion, two hundred three million, four hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 2441 4802 4882 5807 7203 7323 11614 14406 14646 17087 17421 34174 34842 40649 51261 81298 102522 119609 121947 239218 243894 284543 358827 569086 717654 837263 853629 1674526 1707258 1991801 2511789 3983602 5023578 5860841 5975403 11721682 11950806 13942607 14174887 17582523 27885214 28349774 35165046 41827821 42524661 83655642 85049322 99224209 198448418 297672627 595345254 694569463 1389138926 2083708389 4167416778 4861986241 9723972482 14585958723 29171917446 34033903687 68067807374 102101711061 204203422122