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2213131131 = 32713463429
BaseRepresentation
bin1000001111101001…
…1011001101111011
312201020101201011200
42003322123031323
514013030144011
61003335025243
7105562206231
oct20372331573
95636351150
102213131131
11a362891a2
1251920b223
1329367b463
1416dcd8951
15ce462856
hex83e9b37b

2213131131 has 12 divisors (see below), whose sum is σ = 3241770480. Its totient is φ = 1454639760.

The previous prime is 2213131117. The next prime is 2213131133. The reversal of 2213131131 is 1311313122.

2213131131 is a `hidden beast` number, since 221 + 313 + 1 + 131 = 666.

It is not a de Polignac number, because 2213131131 - 27 = 2213131003 is a prime.

It is a super-2 number, since 2×22131311312 = 9795898806002678322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213131133) 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 11 ways as a sum of consecutive naturals, for example, 1731076 + ... + 1732353.

It is an arithmetic number, because the mean of its divisors is an integer number (270147540).

Almost surely, 22213131131 is an apocalyptic number.

2213131131 is a deficient number, since it is larger than the sum of its proper divisors (1028639349).

2213131131 is a wasteful number, since it uses less digits than its factorization.

2213131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463506 (or 3463503 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2213131131 is about 47043.9276740367. The cubic root of 2213131131 is about 1303.1739272487.

Adding to 2213131131 its reverse (1311313122), we get a palindrome (3524444253).

The spelling of 2213131131 in words is "two billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 71 213 639 3463429 10390287 31170861 245903459 737710377 2213131131