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2300152323 = 373727710687
BaseRepresentation
bin1000100100011001…
…1000101000000011
312221022010211210210
42021012120220003
514202314333243
61020124125203
7110666654310
oct21106305003
95838124723
102300152323
11a80415537
12542396803
132a86c95a1
1417b6abd07
15d6e01933
hex89198a03

2300152323 has 32 divisors (see below), whose sum is σ = 3613057024. Its totient is φ = 1274113152.

The previous prime is 2300152303. The next prime is 2300152333. The reversal of 2300152323 is 3232510032.

It is not a de Polignac number, because 2300152323 - 28 = 2300152067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2300152323.

It is not an unprimeable number, because it can be changed into a prime (2300152303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209886 + ... + 220572.

It is an arithmetic number, because the mean of its divisors is an integer number (112908032).

Almost surely, 22300152323 is an apocalyptic number.

2300152323 is a deficient number, since it is larger than the sum of its proper divisors (1312904701).

2300152323 is a wasteful number, since it uses less digits than its factorization.

2300152323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2300152323 is about 47959.9032838891. The cubic root of 2300152323 is about 1320.0352613400.

Adding to 2300152323 its reverse (3232510032), we get a palindrome (5532662355).

The spelling of 2300152323 in words is "two billion, three hundred million, one hundred fifty-two thousand, three hundred twenty-three".

Divisors: 1 3 7 21 37 111 259 277 777 831 1939 5817 10249 10687 30747 32061 71743 74809 215229 224427 395419 1186257 2767933 2960299 8303799 8880897 20722093 62166279 109531063 328593189 766717441 2300152323