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13313616330 = 2357443143111
BaseRepresentation
bin11000110011000110…
…11010100111001010
31021100211220210012010
430121203122213022
5204231241210310
610041033000350
7650631604650
oct143143324712
937324823163
1013313616330
11571220a003
1226b68530b6
1313423593b1
14904284dd0
1552dc50320
hex3198da9ca

13313616330 has 64 divisors (see below), whose sum is σ = 36600035328. Its totient is φ = 3036221760.

The previous prime is 13313616313. The next prime is 13313616359. The reversal of 13313616330 is 3361631331.

13313616330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21475 + ... + 164585.

It is an arithmetic number, because the mean of its divisors is an integer number (571875552).

Almost surely, 213313616330 is an apocalyptic number.

13313616330 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 13313616330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300017664).

13313616330 is an abundant number, since it is smaller than the sum of its proper divisors (23286418998).

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

13313616330 is a wasteful number, since it uses less digits than its factorization.

13313616330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143571.

The product of its (nonzero) digits is 8748, while the sum is 30.

The spelling of 13313616330 in words is "thirteen billion, three hundred thirteen million, six hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 443 886 1329 2215 2658 3101 4430 6202 6645 9303 13290 15505 18606 31010 46515 93030 143111 286222 429333 715555 858666 1001777 1431110 2003554 2146665 3005331 4293330 5008885 6010662 10017770 15026655 30053310 63398173 126796346 190194519 316990865 380389038 443787211 633981730 887574422 950972595 1331361633 1901945190 2218936055 2662723266 4437872110 6656808165 13313616330