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2231213331 = 317371182413
BaseRepresentation
bin1000010011111101…
…1001110100010011
312202111102101021210
42010333121310103
514032142311311
61005222351203
7106202000064
oct20477316423
95674371253
102231213331
11a45509666
1252328b503
1329733c999
1417248456b
15d0d353a6
hex84fd9d13

2231213331 has 16 divisors (see below), whose sum is σ = 3235084704. Its totient is φ = 1362138624.

The previous prime is 2231213329. The next prime is 2231213401. The reversal of 2231213331 is 1333121322.

It is not a de Polignac number, because 2231213331 - 21 = 2231213329 is a prime.

It is a super-3 number, since 3×22312133313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231213298 and 2231213307.

It is not an unprimeable number, because it can be changed into a prime (2233213331) 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, 589320 + ... + 593093.

It is an arithmetic number, because the mean of its divisors is an integer number (202192794).

Almost surely, 22231213331 is an apocalyptic number.

2231213331 is a deficient number, since it is larger than the sum of its proper divisors (1003871373).

2231213331 is a wasteful number, since it uses less digits than its factorization.

2231213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182470.

The product of its digits is 648, while the sum is 21.

The square root of 2231213331 is about 47235.7209217770. The cubic root of 2231213331 is about 1306.7134621658.

Adding to 2231213331 its reverse (1333121322), we get a palindrome (3564334653).

The spelling of 2231213331 in words is "two billion, two hundred thirty-one million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 17 37 51 111 629 1887 1182413 3547239 20101021 43749281 60303063 131247843 743737777 2231213331