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1112120212 = 227172579091
BaseRepresentation
bin100001001001001…
…1001101110010100
32212111122120010111
41002102121232110
54234200321322
6302204332404
736362602660
oct10222315624
92774576114
101112120212
11520843415
12270544104
131495355c8
14a79b58a0
156797c177
hex42499b94

1112120212 has 48 divisors (see below), whose sum is σ = 2364501888. Its totient is φ = 446791680.

The previous prime is 1112120197. The next prime is 1112120213. The reversal of 1112120212 is 2120212111.

It is a super-2 number, since 2×11121202122 = 2473622731877849888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1112120192 and 1112120201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112120213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117787 + ... + 126877.

It is an arithmetic number, because the mean of its divisors is an integer number (49260456).

Almost surely, 21112120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182250944).

1112120212 is an abundant number, since it is smaller than the sum of its proper divisors (1252381676).

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

1112120212 is a wasteful number, since it uses less digits than its factorization.

1112120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1112120212 is about 33348.4664115158. The cubic root of 1112120212 is about 1036.0576248861.

Adding to 1112120212 its reverse (2120212111), we get a palindrome (3232332323).

It can be divided in two parts, 111 and 2120212, that multiplied together give a palindrome (235343532).

The spelling of 1112120212 in words is "one billion, one hundred twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 257 476 514 1028 1799 3598 4369 7196 8738 9091 17476 18182 30583 36364 61166 63637 122332 127274 154547 254548 309094 618188 1081829 2163658 2336387 4327316 4672774 9345548 16354709 32709418 39718579 65418836 79437158 158874316 278030053 556060106 1112120212