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2303323131 = 35379233787
BaseRepresentation
bin1000100101001001…
…1110101111111011
312221112002221100010
42021102132233323
514204122320011
61020320113003
7111035631534
oct21122365773
95845087303
102303323131
11a8219083a
12543465763
132a92698c5
1417bc9568b
15d732b1a6
hex8949ebfb

2303323131 has 32 divisors (see below), whose sum is σ = 3186293760. Its totient is φ = 1479239424.

The previous prime is 2303323129. The next prime is 2303323147. The reversal of 2303323131 is 1313233032.

It is not a de Polignac number, because 2303323131 - 21 = 2303323129 is a prime.

It is a super-2 number, since 2×23033231312 = 10610594891599286322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2303323098 and 2303323107.

It is not an unprimeable number, because it can be changed into a prime (2303323111) 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 31 ways as a sum of consecutive naturals, for example, 2926320 + ... + 2927106.

It is an arithmetic number, because the mean of its divisors is an integer number (99571680).

Almost surely, 22303323131 is an apocalyptic number.

2303323131 is a deficient number, since it is larger than the sum of its proper divisors (882970629).

2303323131 is a wasteful number, since it uses less digits than its factorization.

2303323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 2303323131 is about 47992.9487633340. The cubic root of 2303323131 is about 1320.6415482214.

Adding to 2303323131 its reverse (1313233032), we get a palindrome (3616556163).

Subtracting from 2303323131 its reverse (1313233032), we obtain a palindrome (990090099).

It can be divided in two parts, 23033 and 23131, that added together give a palindrome (46164).

The spelling of 2303323131 in words is "two billion, three hundred three million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 53 79 159 233 237 699 787 2361 4187 12349 12561 18407 37047 41711 55221 62173 125133 183371 186519 550113 975571 2926713 3295169 9718663 9885507 14486309 29155989 43458927 767774377 2303323131