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2230303131 = 32737956801
BaseRepresentation
bin1000010011101111…
…1011100110011011
312202102201010201200
42010323323212123
514031424200011
61005151045243
7106161156330
oct20473734633
95672633650
102230303131
11a44a47831
12522b10823
132970b15c4
141722c8987
15d0c05856
hex84efb99b

2230303131 has 24 divisors (see below), whose sum is σ = 3781281504. Its totient is φ = 1240012800.

The previous prime is 2230303121. The next prime is 2230303133. The reversal of 2230303131 is 1313030322.

2230303131 is a `hidden beast` number, since 2 + 230 + 303 + 131 = 666.

It is not a de Polignac number, because 2230303131 - 25 = 2230303099 is a prime.

It is a super-2 number, since 2×22303031312 = 9948504112296806322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2230303133) 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 23 ways as a sum of consecutive naturals, for example, 476070 + ... + 480731.

It is an arithmetic number, because the mean of its divisors is an integer number (157553396).

Almost surely, 22230303131 is an apocalyptic number.

2230303131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2230303131 is a deficient number, since it is larger than the sum of its proper divisors (1550978373).

2230303131 is a wasteful number, since it uses less digits than its factorization.

2230303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956851 (or 956848 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2230303131 is about 47226.0852813358. The cubic root of 2230303131 is about 1306.5357513296.

Adding to 2230303131 its reverse (1313030322), we get a palindrome (3543333453).

The spelling of 2230303131 in words is "two billion, two hundred thirty million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 956801 2870403 6697607 8611209 20092821 35401637 60278463 106204911 247811459 318614733 743434377 2230303131