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13300311030 = 23519411513769
BaseRepresentation
bin11000110001100001…
…01010001111110110
31021022220212210202020
430120300222033312
5204214334423110
610035435454010
7650410530666
oct143060521766
937286783666
1013300311030
115705751596
1226b22b7306
13133c67b236
149025c01a6
1552c9c2d70
hex318c2a3f6

13300311030 has 128 divisors (see below), whose sum is σ = 34657459200. Its totient is φ = 3255552000.

The previous prime is 13300311019. The next prime is 13300311041. The reversal of 13300311030 is 3011300331.

13300311030 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 (13300311019) and next prime (13300311041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3526986 + ... + 3530754.

It is an arithmetic number, because the mean of its divisors is an integer number (270761400).

Almost surely, 213300311030 is an apocalyptic number.

13300311030 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 13300311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328729600).

13300311030 is an abundant number, since it is smaller than the sum of its proper divisors (21357148170).

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

13300311030 is a wasteful number, since it uses less digits than its factorization.

13300311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13300311030 its reverse (3011300331), we get a palindrome (16311611361).

The spelling of 13300311030 in words is "thirteen billion, three hundred million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 151 190 205 246 285 302 410 453 570 615 755 779 906 1230 1510 1558 2265 2337 2869 3769 3895 4530 4674 5738 6191 7538 7790 8607 11307 11685 12382 14345 17214 18573 18845 22614 23370 28690 30955 37146 37690 43035 56535 61910 71611 86070 92865 113070 117629 143222 154529 185730 214833 235258 309058 352887 358055 429666 463587 569119 588145 705774 716110 772645 927174 1074165 1138238 1176290 1545290 1707357 1764435 2148330 2317935 2845595 2936051 3414714 3528870 4635870 5691190 5872102 8536785 8808153 10813261 14680255 17073570 17616306 21626522 23333879 29360510 32439783 44040765 46667758 54066305 64879566 70001637 88081530 108132610 116669395 140003274 162198915 233338790 324397830 350008185 443343701 700016370 886687402 1330031103 2216718505 2660062206 4433437010 6650155515 13300311030