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221222201220100 = 22529899322347257
BaseRepresentation
bin110010010011001101001110…
…101110000101110000000100
31002000021122011120022111202201
4302103031032232011300010
5212444001032003020400
62102300024245244244
764411530242316613
oct6223151656056004
91060248146274681
10221222201220100
1164540899379763
122098a417703684
1396592195a3032
143c8b2d6b6987a
151a8976cc3a06a
hexc9334eb85c04

221222201220100 has 36 divisors (see below), whose sum is σ = 480057047484084. Its totient is φ = 88487982638080.

The previous prime is 221222201220091. The next prime is 221222201220143. The reversal of 221222201220100 is 1022102222122.

It can be written as a sum of positive squares in 6 ways, for example, as 15921504510976 + 205300696709124 = 3990176^2 + 14328318^2 .

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, 1274329 + ... + 21072928.

It is an arithmetic number, because the mean of its divisors is an integer number (13334917985669).

Almost surely, 2221222201220100 is an apocalyptic number.

221222201220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222201220100 is an abundant number, since it is smaller than the sum of its proper divisors (258834846263984).

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

221222201220100 is a wasteful number, since it uses less digits than its factorization.

221222201220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446264 (or 22446257 counting only the distinct ones).

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

Adding to 221222201220100 its reverse (1022102222122), we get a palindrome (222244303442222).

The spelling of 221222201220100 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 98993 197986 395972 494965 989930 1979860 2474825 4949650 9899300 22347257 44694514 89389028 111736285 223472570 446945140 558681425 1117362850 2234725700 2212222012201 4424444024402 8848888048804 11061110061005 22122220122010 44244440244020 55305550305025 110611100610050 221222201220100