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220122122120200 = 23521100610610601
BaseRepresentation
bin110010000011001100101100…
…111001010110110000001000
31001212101110200011102001101001
4302003030230321112300020
5212322440101230321300
62100054412404304344
764236204250255246
oct6203145471266010
91055343604361331
10220122122120200
11641572a4401853
12208311853a20b4
1395a95722c12b1
143c4dd78d91796
151a6ad3536216a
hexc8332ce56c08

220122122120200 has 24 divisors (see below), whose sum is σ = 511783933929930. Its totient is φ = 88048848848000.

The previous prime is 220122122120179. The next prime is 220122122120221. The reversal of 220122122120200 is 2021221221022.

It is an interprime number because it is at equal distance from previous prime (220122122120179) and next prime (220122122120221).

It can be written as a sum of positive squares in 3 ways, for example, as 212170861359396 + 7951260760804 = 14566086^2 + 2819798^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550305305101 + ... + 550305305500.

Almost surely, 2220122122120200 is an apocalyptic number.

220122122120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122122120200 is an abundant number, since it is smaller than the sum of its proper divisors (291661811809730).

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

220122122120200 is a wasteful number, since it uses less digits than its factorization.

220122122120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100610610617 (or 1100610610608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220122122120200 its reverse (2021221221022), we get a palindrome (222143343341222).

The spelling of 220122122120200 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1100610610601 2201221221202 4402442442404 5503053053005 8804884884808 11006106106010 22012212212020 27515265265025 44024424424040 55030530530050 110061061060100 220122122120200