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2301312020 = 2257143311471
BaseRepresentation
bin1000100100101011…
…0011110000010100
312221101022202121112
42021022303300110
514203113441040
61020205034152
7111012554330
oct21112636024
95841282545
102301312020
11a81037867
12542855958
132a8a143b7
1417b8d07c0
15d7080365
hex892b3c14

2301312020 has 48 divisors (see below), whose sum is σ = 5527484928. Its totient is φ = 788401920.

The previous prime is 2301312017. The next prime is 2301312061. The reversal of 2301312020 is 202131032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2301311986 and 2301312004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194885 + ... + 206355.

It is an arithmetic number, because the mean of its divisors is an integer number (115155936).

Almost surely, 22301312020 is an apocalyptic number.

2301312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301312020 is an abundant number, since it is smaller than the sum of its proper divisors (3226172908).

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

2301312020 is a wasteful number, since it uses less digits than its factorization.

2301312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12918 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2301312020 is about 47971.9920370209. The cubic root of 2301312020 is about 1320.2570703791.

Adding to 2301312020 its reverse (202131032), we get a palindrome (2503443052).

The spelling of 2301312020 in words is "two billion, three hundred one million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1433 2866 5732 7165 10031 11471 14330 20062 22942 28660 40124 45884 50155 57355 80297 100310 114710 160594 200620 229420 321188 401485 802970 1605940 16437943 32875886 65751772 82189715 115065601 164379430 230131202 328758860 460262404 575328005 1150656010 2301312020