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1230122313 = 32723775389
BaseRepresentation
bin100100101010010…
…0010110101001001
310011201200200120200
41021110202311021
510004402403223
6322021442413
742324603300
oct11124426511
93151620520
101230122313
11581410112
122a3b70409
13167b10034
14b9531437
1572edaa43
hex49522d49

1230122313 has 36 divisors (see below), whose sum is σ = 2122831620. Its totient is φ = 683919936.

The previous prime is 1230122269. The next prime is 1230122353. The reversal of 1230122313 is 3132210321.

1230122313 is a `hidden beast` number, since 1 + 230 + 122 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 709050384 + 521071929 = 26628^2 + 22827^2 .

It is not a de Polignac number, because 1230122313 - 29 = 1230121801 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230122353) 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 35 ways as a sum of consecutive naturals, for example, 21378 + ... + 54011.

It is an arithmetic number, because the mean of its divisors is an integer number (58967545).

Almost surely, 21230122313 is an apocalyptic number.

It is an amenable number.

1230122313 is a deficient number, since it is larger than the sum of its proper divisors (892709307).

1230122313 is a wasteful number, since it uses less digits than its factorization.

1230122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75446 (or 75436 counting only the distinct ones).

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

The square root of 1230122313 is about 35073.0995636257. The cubic root of 1230122313 is about 1071.4767837429.

Adding to 1230122313 its reverse (3132210321), we get a palindrome (4362332634).

The spelling of 1230122313 in words is "one billion, two hundred thirty million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1813 2331 5439 16317 75389 226167 527723 678501 1583169 2789393 3694061 4749507 8368179 11082183 19525751 25104537 33246549 58577253 136680257 175731759 410040771 1230122313