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1112332122 = 233116612833
BaseRepresentation
bin100001001001100…
…1101011101011010
32212112001022211000
41002103031131122
54234224111442
6302213045430
736364444536
oct10223153532
92775038730
101112332122
11520978650
12270626876
131495aabb5
14a7a2cbc6
15679bed4c
hex424cd75a

1112332122 has 64 divisors (see below), whose sum is σ = 2701595520. Its totient is φ = 336441600.

The previous prime is 1112332121. The next prime is 1112332139. The reversal of 1112332122 is 2212332111.

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 junction number, because it is equal to n+sod(n) for n = 1112332095 and 1112332104.

It is not an unprimeable number, because it can be changed into a prime (1112332121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391218 + ... + 394050.

It is an arithmetic number, because the mean of its divisors is an integer number (42212430).

Almost surely, 21112332122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350797760).

1112332122 is an abundant number, since it is smaller than the sum of its proper divisors (1589263398).

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

1112332122 is a wasteful number, since it uses less digits than its factorization.

1112332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3510 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1112332122 is about 33351.6434677513. The cubic root of 1112332122 is about 1036.1234262343.

Adding to 1112332122 its reverse (2212332111), we get a palindrome (3324664233).

The spelling of 1112332122 in words is "one billion, one hundred twelve million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 661 1322 1983 2833 3966 5666 5949 7271 8499 11898 14542 16998 17847 21813 25497 31163 35694 43626 50994 62326 65439 76491 93489 130878 152982 186978 196317 280467 392634 560934 841401 1682802 1872613 3745226 5617839 11235678 16853517 20598743 33707034 41197486 50560551 61796229 101121102 123592458 185388687 370777374 556166061 1112332122