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23205333141 = 338316363527
BaseRepresentation
bin10101100111001001…
…010100100010010101
32012220012221001201000
4111213021110202111
5340011031130031
614354350453513
71451023035324
oct254711244225
965805831630
1023205333141
119928895281
1245b7504299
13225a792a73
1411a1c9c0bb
1590c36e3e6
hex567254895

23205333141 has 32 divisors (see below), whose sum is σ = 35006469120. Its totient is φ = 15189828912.

The previous prime is 23205333113. The next prime is 23205333143. The reversal of 23205333141 is 14133350232.

23205333141 is a `hidden beast` number, since 2 + 320 + 5 + 3 + 331 + 4 + 1 = 666.

It is not a de Polignac number, because 23205333141 - 213 = 23205324949 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205333143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333520 + ... + 397046.

It is an arithmetic number, because the mean of its divisors is an integer number (1093952160).

Almost surely, 223205333141 is an apocalyptic number.

It is an amenable number.

23205333141 is a deficient number, since it is larger than the sum of its proper divisors (11801135979).

23205333141 is a wasteful number, since it uses less digits than its factorization.

23205333141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63782 (or 63776 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 23205333141 its reverse (14133350232), we get a palindrome (37338683373).

The spelling of 23205333141 in words is "twenty-three billion, two hundred five million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 83 163 249 489 747 1467 2241 4401 13529 40587 63527 121761 190581 365283 571743 1715229 5272741 10354901 15818223 31064703 47454669 93194109 142364007 279582327 859456783 2578370349 7735111047 23205333141