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13334034810 = 2355931124223
BaseRepresentation
bin11000110101100010…
…10011100101111010
31021102021100011002010
430122301103211322
5204302003103220
610043042350350
7651300266025
oct143261234572
937367304063
1013334034810
115722795788
12270165b3b6
131346658135
14906c7c1bc
155309351e0
hex31ac5397a

13334034810 has 64 divisors (see below), whose sum is σ = 32650076160. Its totient is φ = 3484092480.

The previous prime is 13334034793. The next prime is 13334034811. The reversal of 13334034810 is 1843043331.

It is a super-2 number, since 2×133340348102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13334034811) 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, 538359 + ... + 562581.

It is an arithmetic number, because the mean of its divisors is an integer number (510157440).

Almost surely, 213334034810 is an apocalyptic number.

13334034810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334034810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325038080).

13334034810 is an abundant number, since it is smaller than the sum of its proper divisors (19316041350).

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

13334034810 is a wasteful number, since it uses less digits than its factorization.

13334034810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24603.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13334034810 in words is "thirteen billion, three hundred thirty-four million, thirty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 311 354 590 622 885 933 1555 1770 1866 3110 4665 9330 18349 24223 36698 48446 55047 72669 91745 110094 121115 145338 183490 242230 275235 363345 550470 726690 1429157 2858314 4287471 7145785 7533353 8574942 14291570 15066706 21437355 22600059 37666765 42874710 45200118 75333530 113000295 226000590 444467827 888935654 1333403481 2222339135 2666806962 4444678270 6667017405 13334034810