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1233122130 = 234510115073
BaseRepresentation
bin100100101111111…
…1111001101010010
310011221100002120000
41021133333031102
510011134402010
6322210030430
742362236152
oct11137771522
93157302500
101233122130
115830799a9
122a4b78416
13168620586
14b9ab2762
15733ce7c0
hex497ff352

1233122130 has 80 divisors (see below), whose sum is σ = 3348779544. Its totient is φ = 325555200.

The previous prime is 1233122113. The next prime is 1233122131. The reversal of 1233122130 is 312213321.

It can be written as a sum of positive squares in 4 ways, for example, as 1193771601 + 39350529 = 34551^2 + 6273^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1233122131) 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, 74274 + ... + 89346.

Almost surely, 21233122130 is an apocalyptic number.

1233122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674389772).

1233122130 is an abundant number, since it is smaller than the sum of its proper divisors (2115657414).

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

1233122130 is a wasteful number, since it uses less digits than its factorization.

1233122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193 (or 15184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1233122130 is about 35115.8387341097. The cubic root of 1233122130 is about 1072.3470562872.

Adding to 1233122130 its reverse (312213321), we get a palindrome (1545335451).

The spelling of 1233122130 in words is "one billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1515 1818 2727 3030 4545 5454 8181 9090 13635 15073 16362 27270 30146 40905 45219 75365 81810 90438 135657 150730 226095 271314 406971 452190 678285 813942 1220913 1356570 1522373 2034855 2441826 3044746 4069710 4567119 6104565 7611865 9134238 12209130 13701357 15223730 22835595 27402714 41104071 45671190 68506785 82208142 123312213 137013570 205520355 246624426 411040710 616561065 1233122130