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13330238012 = 2271326146181
BaseRepresentation
bin11000110101000101…
…10100101000111100
31021102000012020211222
430122202310220330
5204300020104022
610042425132512
7651223103450
oct143242645074
937360166758
1013330238012
115720632133
12270032a138
131345928c00
14906570660
15530435242
hex31a8b4a3c

13330238012 has 72 divisors (see below), whose sum is σ = 29342934432. Its totient is φ = 5186937600.

The previous prime is 13330238003. The next prime is 13330238057. The reversal of 13330238012 is 21083203331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265562 + ... + 311742.

It is an arithmetic number, because the mean of its divisors is an integer number (407540756).

Almost surely, 213330238012 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 13330238012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671467216).

13330238012 is an abundant number, since it is smaller than the sum of its proper divisors (16012696420).

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

13330238012 is a wasteful number, since it uses less digits than its factorization.

13330238012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46279 (or 46264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 13330238012 in words is "thirteen billion, three hundred thirty million, two hundred thirty-eight thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 169 182 244 338 364 427 676 793 854 1183 1586 1708 2366 3172 4732 5551 10309 11102 20618 22204 41236 46181 72163 92362 144326 184724 288652 323267 600353 646534 1200706 1293068 2401412 2817041 4202471 5634082 7804589 8404942 11268164 15609178 16809884 19719287 31218356 36621533 39438574 54632123 73243066 78877148 109264246 146486132 218528492 256350731 476079929 512701462 952159858 1025402924 1904319716 3332559503 6665119006 13330238012