Search a number
-
+
200300110311 = 3719231852301
BaseRepresentation
bin1011101010001011010…
…0010010000111100111
3201011000020222212110010
42322202310102013213
511240203312012221
6232003330301303
720320423563120
oct2724264220747
9634006885403
10200300110311
1177a46210554
12329a0127833
1315b71558242
1499a1cc3047
1553249a5c76
hex2ea2d121e7

200300110311 has 48 divisors (see below), whose sum is σ = 332520511488. Its totient is φ = 104935176000.

The previous prime is 200300110291. The next prime is 200300110331. The reversal of 200300110311 is 113011003002.

200300110311 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 (200300110291) and next prime (200300110331).

It is not a de Polignac number, because 200300110311 - 26 = 200300110247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200300110331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191140 + ... + 661161.

It is an arithmetic number, because the mean of its divisors is an integer number (6927510656).

Almost surely, 2200300110311 is an apocalyptic number.

200300110311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200300110311 is a deficient number, since it is larger than the sum of its proper divisors (132220401177).

200300110311 is a wasteful number, since it uses less digits than its factorization.

200300110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852380 (or 852361 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 200300110311 its reverse (113011003002), we get a palindrome (313311113313).

The spelling of 200300110311 in words is "two hundred billion, three hundred million, one hundred ten thousand, three hundred eleven".

Divisors: 1 3 7 19 21 31 57 93 133 217 361 399 589 651 1083 1767 2527 4123 7581 11191 12369 33573 78337 235011 852301 2556903 5966107 16193719 17898321 26421331 48581157 79263993 113356033 184949317 307680661 340068099 502005289 554847951 923041983 1506015867 2153764627 3514037023 6461293881 9538100491 10542111069 28614301473 66766703437 200300110311