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204342431013 = 327311994491171
BaseRepresentation
bin1011111001001111000…
…0100000110100100101
3201112102222100000222200
42332103300200310211
511321443130243023
6233512411245113
720522540001510
oct2762360406445
9645388300880
10204342431013
117972aa7a966
1233729a49799
1316366b76896
149c66ad1d77
1554ae7da743
hex2f93c20d25

204342431013 has 96 divisors (see below), whose sum is σ = 351037440000. Its totient is φ = 112086374400.

The previous prime is 204342430997. The next prime is 204342431063. The reversal of 204342431013 is 310134243402.

204342431013 is a `hidden beast` number, since 2 + 0 + 4 + 342 + 4 + 310 + 1 + 3 = 666.

It is not a de Polignac number, because 204342431013 - 24 = 204342430997 is a prime.

It is a super-2 number, since 2×2043424310132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204342431063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174501918 + ... + 174503088.

It is an arithmetic number, because the mean of its divisors is an integer number (3656640000).

Almost surely, 2204342431013 is an apocalyptic number.

It is an amenable number.

204342431013 is a deficient number, since it is larger than the sum of its proper divisors (146695008987).

204342431013 is a wasteful number, since it uses less digits than its factorization.

204342431013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204342431013 its reverse (310134243402), we get a palindrome (514476674415).

The spelling of 204342431013 in words is "two hundred four billion, three hundred forty-two million, four hundred thirty-one thousand, thirteen".

Divisors: 1 3 7 9 21 31 63 93 199 217 279 449 597 651 1171 1347 1393 1791 1953 3143 3513 4041 4179 6169 8197 9429 10539 12537 13919 18507 24591 28287 36301 41757 43183 55521 73773 89351 97433 108903 125271 129549 233029 254107 268053 292299 326709 388647 525779 625457 699087 762321 804159 876897 1577337 1631203 1876371 2097261 2286963 2769881 3680453 4732011 4893609 5629113 7223899 8309643 11041359 14680827 16299149 19389167 21671697 24928929 33124077 48897447 50567293 58167501 65015091 104630021 114094043 146692341 151701879 174502503 313890063 342282129 455105637 732410147 941670189 1026846387 2197230441 3243530651 6591691323 9730591953 22704714557 29191775859 68114143671 204342431013