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2310201296 = 241311106737
BaseRepresentation
bin1000100110110010…
…1101111111010000
312222000001101101222
42021230231333100
514212402420141
61021123344212
7111151246514
oct21154557720
95860041358
102310201296
11a86059477
12545822068
132aa807520
1417cb66144
15d7c3914b
hex89b2dfd0

2310201296 has 20 divisors (see below), whose sum is σ = 4820324292. Its totient is φ = 1066246656.

The previous prime is 2310201233. The next prime is 2310201307. The reversal of 2310201296 is 6921020132.

It can be written as a sum of positive squares in 2 ways, for example, as 188677696 + 2121523600 = 13736^2 + 46060^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5553161 + ... + 5553576.

Almost surely, 22310201296 is an apocalyptic number.

2310201296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2310201296 is an abundant number, since it is smaller than the sum of its proper divisors (2510122996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2310201296 is a wasteful number, since it uses less digits than its factorization.

2310201296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11106758 (or 11106752 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2310201296 is about 48064.5534255755. The cubic root of 2310201296 is about 1321.9548049303.

The spelling of 2310201296 in words is "two billion, three hundred ten million, two hundred one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 11106737 22213474 44426948 88853896 144387581 177707792 288775162 577550324 1155100648 2310201296