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2122101112220 = 225316733503333
BaseRepresentation
bin11110111000010111000…
…101010011110110011100
321111212111212122000120122
4132320113011103312130
5234232030341042340
64302514011334112
7306213433556045
oct36702705236634
97455455560518
102122101112220
11748a83833691
122a333b451338
13125161b388bb
14749d2c918cc
153a302669db5
hex1ee17153d9c

2122101112220 has 24 divisors (see below), whose sum is σ = 4457819608704. Its totient is φ = 848572392896.

The previous prime is 2122101112097. The next prime is 2122101112249. The reversal of 2122101112220 is 222111012212.

It is a super-3 number, since 3×21221011122203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16688327 + ... + 16815006.

It is an arithmetic number, because the mean of its divisors is an integer number (185742483696).

Almost surely, 22122101112220 is an apocalyptic number.

2122101112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122101112220 is an abundant number, since it is smaller than the sum of its proper divisors (2335718496484).

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

2122101112220 is a wasteful number, since it uses less digits than its factorization.

2122101112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33506509 (or 33506507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122101112220 its reverse (222111012212), we get a palindrome (2344212124432).

The spelling of 2122101112220 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 3167 6334 12668 15835 31670 63340 33503333 67006666 134013332 167516665 335033330 670066660 106105055611 212210111222 424420222444 530525278055 1061050556110 2122101112220