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2112211210122 = 2321388110245793
BaseRepresentation
bin11110101111001001100…
…110010100111110001010
321110220222122000221101100
4132233021212110332022
5234101302032210442
64254200400402230
7305413364024166
oct36571146247612
97426878027340
102112211210122
11744869187882
122a143b316376
13124246bb9220
14743355cbca6
1539e242a884c
hex1ebc9994f8a

2112211210122 has 48 divisors (see below), whose sum is σ = 4934087508168. Its totient is φ = 649173381120.

The previous prime is 2112211210079. The next prime is 2112211210133. The reversal of 2112211210122 is 2210121122112.

2112211210122 is a `hidden beast` number, since 211 + 221 + 1 + 210 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 436737261321 + 1675473948801 = 660861^2 + 1294401^2 .

It is a super-2 number, since 2×21122112101222 (a number of 25 digits) contains 22 as substring.

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 = 2112211210095 and 2112211210104.

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 23 ways as a sum of consecutive naturals, for example, 4916743 + ... + 5329050.

Almost surely, 22112211210122 is an apocalyptic number.

2112211210122 is an abundant number, since it is smaller than the sum of its proper divisors (2821876298046).

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

2112211210122 is a wasteful number, since it uses less digits than its factorization.

2112211210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246695 (or 10246692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112211210122 its reverse (2210121122112), we get a palindrome (4322332332234).

The spelling of 2112211210122 in words is "two trillion, one hundred twelve billion, two hundred eleven million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 881 1762 2643 5286 7929 11453 15858 22906 34359 68718 103077 206154 10245793 20491586 30737379 61474758 92212137 133195309 184424274 266390618 399585927 799171854 1198757781 2397515562 9026543633 18053087266 27079630899 54159261798 81238892697 117345067229 162477785394 234690134458 352035201687 704070403374 1056105605061 2112211210122