Search a number
-
+
30200313 = 311131741101
BaseRepresentation
bin111001100110…
…1000111111001
32002211100001010
41303031013321
530212402223
62555144133
7514461363
oct163150771
962740033
1030200313
1116057a40
12a145049
136345210
144021d33
1529b8393
hex1ccd1f9

30200313 has 64 divisors (see below), whose sum is σ = 51819264. Its totient is φ = 15360000.

The previous prime is 30200309. The next prime is 30200323. The reversal of 30200313 is 31300203.

It is a happy number.

It is not a de Polignac number, because 30200313 - 22 = 30200309 is a prime.

It is a super-3 number, since 3×302003133 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30200323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298963 + ... + 299063.

It is an arithmetic number, because the mean of its divisors is an integer number (809676).

Almost surely, 230200313 is an apocalyptic number.

30200313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

30200313 is a deficient number, since it is larger than the sum of its proper divisors (21618951).

30200313 is a wasteful number, since it uses less digits than its factorization.

30200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 30200313 is about 5495.4811436306. The cubic root of 30200313 is about 311.4132937764.

Adding to 30200313 its reverse (31300203), we get a palindrome (61500516).

The spelling of 30200313 in words is "thirty million, two hundred thousand, three hundred thirteen".

Divisors: 1 3 11 13 17 33 39 41 51 101 123 143 187 221 303 429 451 533 561 663 697 1111 1313 1353 1599 1717 2091 2431 3333 3939 4141 5151 5863 7293 7667 9061 12423 14443 17589 18887 22321 23001 27183 43329 45551 53833 56661 66963 70397 99671 136653 161499 211191 245531 299013 592163 736593 774367 915161 1776489 2323101 2745483 10066771 30200313