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23213433141 = 3319446310139
BaseRepresentation
bin10101100111101000…
…001110000100110101
32012220210011120211000
4111213220032010311
5340020114330031
614355240233513
71451151632433
oct254750160465
965823146730
1023213433141
119932417998
1245ba16b899
13225c36a872
1411a2da9d53
1590ce1e3e6
hex567a0e135

23213433141 has 32 divisors (see below), whose sum is σ = 36211968000. Its totient is φ = 14656384944.

The previous prime is 23213433079. The next prime is 23213433143. The reversal of 23213433141 is 14133431232.

It is a happy number.

23213433141 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 343 + 314 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-23213433141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213433143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284450 + ... + 2294588.

It is an arithmetic number, because the mean of its divisors is an integer number (1131624000).

Almost surely, 223213433141 is an apocalyptic number.

It is an amenable number.

23213433141 is a deficient number, since it is larger than the sum of its proper divisors (12998534859).

23213433141 is a wasteful number, since it uses less digits than its factorization.

23213433141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14630 (or 14624 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 23213433141 its reverse (14133431232), we get a palindrome (37346864373).

The spelling of 23213433141 in words is "twenty-three billion, two hundred thirteen million, four hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 4463 10139 13389 30417 40167 84797 91251 120501 192641 254391 273753 577923 763173 1733769 2289519 5201307 45250357 135751071 407253213 859756783 1221759639 2579270349 7737811047 23213433141