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11212312331 = 1121110694519
BaseRepresentation
bin10100111000100111…
…00100111100001011
31001221101221111000002
422130103210330023
5140430322443311
65052330433215
7544565040143
oct123423447413
931841844002
1011212312331
114834070230
12220ab9280b
131098c02b4c
14785179923
1545952b93b
hex29c4e4f0b

11212312331 has 16 divisors (see below), whose sum is σ = 12303801600. Its totient is φ = 10132970400.

The previous prime is 11212312301. The next prime is 11212312367. The reversal of 11212312331 is 13321321211.

It is a happy number.

11212312331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11212312331 - 210 = 11212311307 is a prime.

It is a super-2 number, since 2×112123123312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11212312301) 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 15 ways as a sum of consecutive naturals, for example, 2478890 + ... + 2483408.

It is an arithmetic number, because the mean of its divisors is an integer number (768987600).

Almost surely, 211212312331 is an apocalyptic number.

11212312331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11212312331 is a deficient number, since it is larger than the sum of its proper divisors (1091489269).

11212312331 is a wasteful number, since it uses less digits than its factorization.

11212312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810.

The product of its digits is 216, while the sum is 20.

Adding to 11212312331 its reverse (13321321211), we get a palindrome (24533633542).

The spelling of 11212312331 in words is "eleven billion, two hundred twelve million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 11 211 1069 2321 4519 11759 49709 225559 953509 2481149 4830811 10488599 53138921 1019301121 11212312331