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1330233111 = 34191495801
BaseRepresentation
bin100111101001001…
…1011111100010111
310102201001211210000
41033102123330113
510211014424421
6335555302343
744651536434
oct11722337427
93381054700
101330233111
11622977909
123115aa9b3
131827920ac
14c8950b8b
157bbb3226
hex4f49bf17

1330233111 has 40 divisors (see below), whose sum is σ = 2106126000. Its totient is φ = 834364800.

The previous prime is 1330233101. The next prime is 1330233127. The reversal of 1330233111 is 1113320331.

It is a happy number.

1330233111 is a `hidden beast` number, since 1 + 330 + 2 + 331 + 1 + 1 = 666.

It is not a de Polignac number, because 1330233111 - 225 = 1296678679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330233101) 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, 226411 + ... + 232211.

It is an arithmetic number, because the mean of its divisors is an integer number (52653150).

Almost surely, 21330233111 is an apocalyptic number.

1330233111 is a deficient number, since it is larger than the sum of its proper divisors (775892889).

1330233111 is a wasteful number, since it uses less digits than its factorization.

1330233111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1330233111 is about 36472.3609189205. The cubic root of 1330233111 is about 1099.7886952246.

Adding to 1330233111 its reverse (1113320331), we get a palindrome (2443553442).

The spelling of 1330233111 in words is "one billion, three hundred thirty million, two hundred thirty-three thousand, one hundred eleven".

Divisors: 1 3 9 19 27 57 81 149 171 447 513 1341 1539 2831 4023 5801 8493 12069 17403 25479 52209 76437 110219 156627 229311 330657 469881 864349 991971 2593047 2975913 7779141 8927739 16422631 23337423 49267893 70012269 147803679 443411037 1330233111