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1332112122 = 2331110720959
BaseRepresentation
bin100111101100110…
…0110101011111010
310102211121022022000
41033121212223322
510212010041442
6340103441430
745003523545
oct11731465372
93384538260
101332112122
11623a40610
12312156276
13182c9c433
14c8cbd85c
157be34d4c
hex4f666afa

1332112122 has 64 divisors (see below), whose sum is σ = 3259699200. Its totient is φ = 399878640.

The previous prime is 1332112109. The next prime is 1332112189. The reversal of 1332112122 is 2212112331.

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 = 1332112095 and 1332112104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53079 + ... + 74037.

It is an arithmetic number, because the mean of its divisors is an integer number (50932800).

Almost surely, 21332112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629849600).

1332112122 is an abundant number, since it is smaller than the sum of its proper divisors (1927587078).

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

1332112122 is a wasteful number, since it uses less digits than its factorization.

1332112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088 (or 21082 counting only the distinct ones).

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

The square root of 1332112122 is about 36498.1112114038. Note that the first 3 decimals coincide. The cubic root of 1332112122 is about 1100.3062844071.

Adding to 1332112122 its reverse (2212112331), we get a palindrome (3544224453).

The spelling of 1332112122 in words is "one billion, three hundred thirty-two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 594 642 963 1177 1926 2354 2889 3531 5778 7062 10593 20959 21186 31779 41918 62877 63558 125754 188631 230549 377262 461098 565893 691647 1131786 1383294 2074941 2242613 4149882 4485226 6224823 6727839 12449646 13455678 20183517 24668743 40367034 49337486 60550551 74006229 121101102 148012458 222018687 444037374 666056061 1332112122