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2122241112 = 2332291016399
BaseRepresentation
bin111111001111110…
…1101010001011000
312110220101000111200
41332133231101120
513321243203422
6550330554200
7103406515605
oct17637552130
95426330450
102122241112
11999a4a182
124b2898960
1327a8a7394
14161bd96ac
15c64ac2ac
hex7e7ed458

2122241112 has 48 divisors (see below), whose sum is σ = 5945940000. Its totient is φ = 683019456.

The previous prime is 2122241111. The next prime is 2122241113. The reversal of 2122241112 is 2111422212.

2122241112 is a `hidden beast` number, since 21 + 222 + 411 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2122241111) and next prime (2122241113).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122241111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506112 + ... + 510287.

It is an arithmetic number, because the mean of its divisors is an integer number (123873750).

Almost surely, 22122241112 is an apocalyptic number.

It is an amenable number.

2122241112 is an abundant number, since it is smaller than the sum of its proper divisors (3823698888).

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

2122241112 is a wasteful number, since it uses less digits than its factorization.

2122241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016440 (or 1016433 counting only the distinct ones).

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

The square root of 2122241112 is about 46067.7882256138. The cubic root of 2122241112 is about 1285.0841717891.

Adding to 2122241112 its reverse (2111422212), we get a palindrome (4233663324).

The spelling of 2122241112 in words is "two billion, one hundred twenty-two million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 1016399 2032798 3049197 4065596 6098394 8131192 9147591 12196788 18295182 24393576 29475571 36590364 58951142 73180728 88426713 117902284 176853426 235804568 265280139 353706852 530560278 707413704 1061120556 2122241112