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2300002131 = 372171277247
BaseRepresentation
bin1000100100010111…
…0011111101010011
312221021212012210010
42021011303331103
514202300032011
61020121010003
7110665460400
oct21105637523
95837765703
102300002131
11a80322709
12542323903
132a867610b
1417b66d2a7
15d6dc21a6
hex89173f53

2300002131 has 48 divisors (see below), whose sum is σ = 3807461376. Its totient is φ = 1227066624.

The previous prime is 2300002087. The next prime is 2300002147. The reversal of 2300002131 is 1312000032.

It is a happy number.

It is not a de Polignac number, because 2300002131 - 213 = 2299993939 is a prime.

It is a super-2 number, since 2×23000021312 = 10580019605209082322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2300002171) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 313750 + ... + 320996.

It is an arithmetic number, because the mean of its divisors is an integer number (79322112).

Almost surely, 22300002131 is an apocalyptic number.

2300002131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2300002131 is a deficient number, since it is larger than the sum of its proper divisors (1507459245).

2300002131 is a wasteful number, since it uses less digits than its factorization.

2300002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2300002131 is about 47958.3374503329. The cubic root of 2300002131 is about 1320.0065294672.

Adding to 2300002131 its reverse (1312000032), we get a palindrome (3612002163).

The spelling of 2300002131 in words is "two billion, three hundred million, two thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 49 51 119 127 147 357 381 833 889 2159 2499 2667 6223 6477 7247 15113 18669 21741 45339 50729 105791 123199 152187 317373 355103 369597 862393 920369 1065309 2587179 2761107 6036751 6442583 15646273 18110253 19327749 45098081 46938819 109523911 135294243 328571733 766667377 2300002131