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2201212102122 = 2321111117232839
BaseRepresentation
bin100000000010000010011…
…101110010010111101010
321210102201020220200222200
4200002002131302113222
5242031040244231442
64403120050401030
7315014042103345
oct40020235622752
97712636820880
102201212102122
1177958a934280
122b6739590176
1312c75ba24327
147877993145c
153c3d2a7d34c
hex200827725ea

2201212102122 has 24 divisors (see below), whose sum is σ = 5202864969120. Its totient is φ = 667033970280.

The previous prime is 2201212102087. The next prime is 2201212102157. The reversal of 2201212102122 is 2212012121022.

It is a happy number.

2201212102122 is a `hidden beast` number, since 220 + 1 + 21 + 210 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2201212102087) and next prime (2201212102157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2201212102095 and 2201212102104.

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 11 ways as a sum of consecutive naturals, for example, 5558616222 + ... + 5558616617.

It is an arithmetic number, because the mean of its divisors is an integer number (216786040380).

Almost surely, 22201212102122 is an apocalyptic number.

2201212102122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2201212102122 is an abundant number, since it is smaller than the sum of its proper divisors (3001652866998).

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

2201212102122 is a wasteful number, since it uses less digits than its factorization.

2201212102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11117232858 (or 11117232855 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2201212102122 its reverse (2212012121022), we get a palindrome (4413224223144).

The spelling of 2201212102122 in words is "two trillion, two hundred one billion, two hundred twelve million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11117232839 22234465678 33351698517 66703397034 100055095551 122289561229 200110191102 244579122458 366868683687 733737367374 1100606051061 2201212102122