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1230023213 = 4322692473
BaseRepresentation
bin100100101010000…
…1010101000101101
310011201111122122022
41021110022220231
510004341220323
6322015355525
742324011336
oct11124125055
93151448568
101230023213
11581352711
122a3b22ba5
13167aa6bb3
14b950728d
1572ebb4c8
hex4950aa2d

1230023213 has 12 divisors (see below), whose sum is σ = 1264486140. Its totient is φ = 1196467776.

The previous prime is 1230023203. The next prime is 1230023237. The reversal of 1230023213 is 3123200321.

It can be written as a sum of positive squares in 2 ways, for example, as 451222564 + 778800649 = 21242^2 + 27907^2 .

It is not a de Polignac number, because 1230023213 - 26 = 1230023149 is a prime.

It is a super-3 number, since 3×12300232133 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1230023191 and 1230023200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230023203) 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 11 ways as a sum of consecutive naturals, for example, 496145 + ... + 498617.

It is an arithmetic number, because the mean of its divisors is an integer number (105373845).

Almost surely, 21230023213 is an apocalyptic number.

It is an amenable number.

1230023213 is a deficient number, since it is larger than the sum of its proper divisors (34462927).

1230023213 is an equidigital number, since it uses as much as digits as its factorization.

1230023213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1230023213 is about 35071.6867715255. The cubic root of 1230023213 is about 1071.4480098560.

Adding to 1230023213 its reverse (3123200321), we get a palindrome (4353223534).

The spelling of 1230023213 in words is "one billion, two hundred thirty million, twenty-three thousand, two hundred thirteen".

Divisors: 1 43 269 1849 2473 11567 106339 497381 665237 4572577 28605191 1230023213