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900220102212 = 223234769397171
BaseRepresentation
bin11010001100110010100…
…11001010011001000100
310012001121212221102201010
431012121103022121010
5104222122321232322
61525315545002220
7122016202420644
oct15063123123104
93161555842633
10900220102212
11317865862952
12126575a83370
1366b762611c2
14317dc71c524
151863ba0720c
hexd1994ca644

900220102212 has 48 divisors (see below), whose sum is σ = 2238475180032. Its totient is φ = 280919744160.

The previous prime is 900220102153. The next prime is 900220102303. The reversal of 900220102212 is 212201022009.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34685614 + ... + 34711557.

It is an arithmetic number, because the mean of its divisors is an integer number (46634899584).

Almost surely, 2900220102212 is an apocalyptic number.

900220102212 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

900220102212 is an abundant number, since it is smaller than the sum of its proper divisors (1338255077820).

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

900220102212 is a wasteful number, since it uses less digits than its factorization.

900220102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69397248 (or 69397246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 900220102212 in words is "nine hundred billion, two hundred twenty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 6486 12972 69397171 138794342 208191513 277588684 416383026 832766052 1596134933 3192269866 3261667037 4788404799 6384539732 6523334074 9576809598 9785001111 13046668148 19153619196 19570002222 39140004444 75018341851 150036683702 225055025553 300073367404 450110051106 900220102212