Search a number
-
+
1033330122 = 234114911181
BaseRepresentation
bin111101100101110…
…101110111001010
32200000101121110000
4331211311313022
54104013030442
6250311503430
734415106156
oct7545656712
92600347400
101033330122
11490319240
1224a087b76
13136109b56
149b346066
1560ab6d4c
hex3d975dca

1033330122 has 80 divisors (see below), whose sum is σ = 2533205664. Its totient is φ = 312228000.

The previous prime is 1033330121. The next prime is 1033330183. The reversal of 1033330122 is 2210333301.

1033330122 is a `hidden beast` number, since 10 + 333 + 301 + 22 = 666.

It is a super-2 number, since 2×10333301222 = 2135542282065069768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1033330095 and 1033330104.

It is not an unprimeable number, because it can be changed into a prime (1033330121) 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 39 ways as a sum of consecutive naturals, for example, 874372 + ... + 875552.

Almost surely, 21033330122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266602832).

1033330122 is an abundant number, since it is smaller than the sum of its proper divisors (1499875542).

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

1033330122 is a wasteful number, since it uses less digits than its factorization.

1033330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1033330122 is about 32145.4525866412. The cubic root of 1033330122 is about 1010.9888436635.

Adding to 1033330122 its reverse (2210333301), we get a palindrome (3243663423).

The spelling of 1033330122 in words is "one billion, thirty-three million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 491 594 891 982 1181 1473 1782 2362 2946 3543 4419 5401 7086 8838 10629 10802 12991 13257 16203 21258 25982 26514 31887 32406 38973 39771 48609 63774 77946 79542 95661 97218 116919 145827 191322 233838 291654 350757 437481 579871 701514 874962 1052271 1159742 1739613 2104542 3479226 5218839 6378581 10437678 12757162 15656517 19135743 31313034 38271486 46969551 57407229 93939102 114814458 172221687 344443374 516665061 1033330122