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2001122112 = 26311947501
BaseRepresentation
bin111011101000110…
…1011001101000000
312011110110112110210
41313101223031000
513044241401422
6530322554120
7100406154153
oct16721531500
95143415423
102001122112
11937643730
1247a208940
1325b77b032
1414daabc9a
15baa3510c
hex7746b340

2001122112 has 56 divisors (see below), whose sum is σ = 5775972192. Its totient is φ = 606400000.

The previous prime is 2001122099. The next prime is 2001122117. The reversal of 2001122112 is 2112211002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001122117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471639 + ... + 475862.

Almost surely, 22001122112 is an apocalyptic number.

2001122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2001122112 is an abundant number, since it is smaller than the sum of its proper divisors (3774850080).

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

2001122112 is a wasteful number, since it uses less digits than its factorization.

2001122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947527 (or 947517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2001122112 is about 44733.9033843460. The cubic root of 2001122112 is about 1260.1566345965.

Adding to 2001122112 its reverse (2112211002), we get a palindrome (4113333114).

The spelling of 2001122112 in words is "two billion, one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 947501 1895002 2842503 3790004 5685006 7580008 10422511 11370012 15160016 20845022 22740024 30320032 31267533 41690044 45480048 60640064 62535066 83380088 90960096 125070132 166760176 181920192 250140264 333520352 500280528 667040704 1000561056 2001122112