Search a number
-
+
313300033530 = 2351110133727893
BaseRepresentation
bin1001000111100100010…
…00110001111111111010
31002221200102021201211120
410203302020301333322
520113114302033110
6355532243010110
731430603226321
oct4436210617772
91087612251746
10313300033530
11110962779350
1250877669936
132370c410733
141124168d0b8
15823a129870
hex48f2231ffa

313300033530 has 128 divisors (see below), whose sum is σ = 830885942016. Its totient is φ = 74973696000.

The previous prime is 313300033477. The next prime is 313300033549. The reversal of 313300033530 is 35330003313.

It is a super-2 number, since 2×3133000335302 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313300033530.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11218264 + ... + 11246156.

It is an arithmetic number, because the mean of its divisors is an integer number (6491296422).

Almost surely, 2313300033530 is an apocalyptic number.

313300033530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313300033530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415442971008).

313300033530 is an abundant number, since it is smaller than the sum of its proper divisors (517585908486).

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

313300033530 is a wasteful number, since it uses less digits than its factorization.

313300033530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28352.

The product of its (nonzero) digits is 3645, while the sum is 24.

Adding to 313300033530 its reverse (35330003313), we get a palindrome (348630036843).

The spelling of 313300033530 in words is "three hundred thirteen billion, three hundred million, thirty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 337 505 606 674 1010 1011 1111 1515 1685 2022 2222 3030 3333 3370 3707 5055 5555 6666 7414 10110 11110 11121 16665 18535 22242 27893 33330 34037 37070 55605 55786 68074 83679 102111 111210 139465 167358 170185 204222 278930 306823 340370 374407 418395 510555 613646 748814 836790 920469 1021110 1123221 1534115 1840938 1872035 2246442 2817193 3068230 3744070 4602345 5616105 5634386 8451579 9204690 9399941 11232210 14085965 16903158 18799882 28171930 28199823 30989123 42257895 46999705 56399646 61978246 84515790 92967369 93999410 103399351 140999115 154945615 185934738 206798702 281998230 309891230 310198053 464836845 516996755 620396106 929673690 949394041 1033993510 1550990265 1898788082 2848182123 3101980530 4746970205 5696364246 9493940410 10443334451 14240910615 20886668902 28481821230 31330003353 52216672255 62660006706 104433344510 156650016765 313300033530