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13341233004 = 22311217231793
BaseRepresentation
bin11000110110011001…
…10000111101101100
31021102202212212010220
430123030300331230
5204310323424004
610043500531340
7651415416021
oct143314607554
937382785126
1013341233004
115726861900
122703b50b50
131347ca8618
14907bd3548
155313a7dd9
hex31b330f6c

13341233004 has 108 divisors (see below), whose sum is σ = 36349062792. Its totient is φ = 3804866560.

The previous prime is 13341232999. The next prime is 13341233069. The reversal of 13341233004 is 40033214331.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403732 + ... + 435524.

Almost surely, 213341233004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174531396).

13341233004 is an abundant number, since it is smaller than the sum of its proper divisors (23007829788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13341233004 is a wasteful number, since it uses less digits than its factorization.

13341233004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31856 (or 31826 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13341233004 its reverse (40033214331), we get a palindrome (53374447335).

The spelling of 13341233004 in words is "thirteen billion, three hundred forty-one million, two hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 289 363 374 484 561 578 726 748 867 1122 1156 1452 1734 2057 2244 3179 3468 4114 6171 6358 8228 9537 12342 12716 19074 24684 31793 34969 38148 63586 69938 95379 104907 127172 139876 190758 209814 349723 381516 419628 540481 699446 1049169 1080962 1398892 1621443 2098338 2161924 3242886 3846953 4196676 5945291 6485772 7693906 9188177 11540859 11890582 15387812 17835873 18376354 23081718 23781164 27564531 35671746 36752708 46163436 55129062 65398201 71343492 101069947 110258124 130796402 196194603 202139894 261592804 303209841 392389206 404279788 606419682 784778412 1111769417 1212839364 2223538834 3335308251 4447077668 6670616502 13341233004