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213020200212200 = 23522137498409453
BaseRepresentation
bin110000011011110110100001…
…010111010001011011101000
31000221020112101000101200121022
4300123312201113101123220
5210410110332223242300
62033020043510432012
762604126100133153
oct6033664127213350
91027215330350538
10213020200212200
11619693a565a497
121ba848aa062608
1391b2945c51984
143a8633876ac9a
151996226d3e285
hexc1bda15d16e8

213020200212200 has 48 divisors (see below), whose sum is σ = 495503726883180. Its totient is φ = 85168207157760.

The previous prime is 213020200212151. The next prime is 213020200212257. The reversal of 213020200212200 is 2212002020312.

213020200212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 60240168194116 + 152780032018084 = 7761454^2 + 12360422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248777327 + ... + 249632126.

Almost surely, 2213020200212200 is an apocalyptic number.

213020200212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213020200212200 is an abundant number, since it is smaller than the sum of its proper divisors (282483526670980).

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

213020200212200 is a wasteful number, since it uses less digits than its factorization.

213020200212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498411606 (or 498411597 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213020200212200 its reverse (2212002020312), we get a palindrome (215232202232512).

The spelling of 213020200212200 in words is "two hundred thirteen trillion, twenty billion, two hundred million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2137 4274 8548 10685 17096 21370 42740 53425 85480 106850 213700 427400 498409453 996818906 1993637812 2492047265 3987275624 4984094530 9968189060 12460236325 19936378120 24920472650 49840945300 99681890600 1065101001061 2130202002122 4260404004244 5325505005305 8520808008488 10651010010610 21302020021220 26627525026525 42604040042440 53255050053050 106510100106100 213020200212200