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13234040001 = 327313225367
BaseRepresentation
bin11000101001100111…
…10110110011000001
31021011022011212222200
430110303312303001
5204100403240001
610025111223413
7645644325000
oct142463666301
937138155880
1013234040001
1156812a8146
122694077b69
13132ba16b00
148d788cc37
15526c82086
hex314cf6cc1

13234040001 has 72 divisors (see below), whose sum is σ = 24140188800. Its totient is φ = 6980317344.

The previous prime is 13234039991. The next prime is 13234040011. The reversal of 13234040001 is 10004043231.

13234040001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13234039991) and next prime (13234040011).

It is not a de Polignac number, because 13234040001 - 27 = 13234039873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13234040011) 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 71 ways as a sum of consecutive naturals, for example, 509020 + ... + 534386.

It is an arithmetic number, because the mean of its divisors is an integer number (335280400).

Almost surely, 213234040001 is an apocalyptic number.

It is an amenable number.

13234040001 is a deficient number, since it is larger than the sum of its proper divisors (10906148799).

13234040001 is a wasteful number, since it uses less digits than its factorization.

13234040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25420 (or 25390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13234040001 its reverse (10004043231), we get a palindrome (23238083232).

The spelling of 13234040001 in words is "thirteen billion, two hundred thirty-four million, forty thousand, one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 343 441 507 637 819 1029 1183 1521 1911 3087 3549 4459 5733 8281 10647 13377 24843 25367 40131 57967 74529 76101 173901 177569 228303 329771 521703 532707 989313 1242983 1598121 2308397 2967939 3728949 4287023 6925191 8700881 11186847 12861069 16158779 20775573 26102643 30009161 38583207 48476337 78307929 90027483 113111453 145429011 210064127 270082449 339334359 630192381 1018003077 1470448889 1890577143 4411346667 13234040001