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2211222102120 = 2332517757477293
BaseRepresentation
bin100000001011010111000…
…110111010000001101000
321211101112212111101112100
4200023113012322001220
5242212040324231440
64411453231413400
7315520100514663
oct40132706720150
97741485441470
102211222102120
11782857259449
122b8671984260
13130695803355
14790491386da
153c7bb764230
hex202d71ba068

2211222102120 has 192 divisors, whose sum is σ = 7619273223120. Its totient is φ = 554239107072.

The previous prime is 2211222102101. The next prime is 2211222102169. The reversal of 2211222102120 is 212012221122.

It is a happy number.

2211222102120 is a `hidden beast` number, since 221 + 1 + 22 + 210 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 825266867364 + 1385955234756 = 908442^2 + 1177266^2 .

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 = 2211222102093 and 2211222102102.

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 47 ways as a sum of consecutive naturals, for example, 4394194 + ... + 4871486.

Almost surely, 22211222102120 is an apocalyptic number.

2211222102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211222102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809636611560).

2211222102120 is an abundant number, since it is smaller than the sum of its proper divisors (5408051121000).

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

2211222102120 is a wasteful number, since it uses less digits than its factorization.

2211222102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478084 (or 478077 counting only the distinct ones).

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

Adding to 2211222102120 its reverse (212012221122), we get a palindrome (2423234323242).

The spelling of 2211222102120 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty".