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2232213210131 is a prime number
BaseRepresentation
bin100000011110111010010…
…001101000010000010011
321220101201202222011101012
4200132322101220100103
5243033033040211011
64425244204001135
7320162216136422
oct40367221502023
97811652864335
102232213210131
117907491885a3
1230074b8301ab
1313265c623a18
147a07acd52b9
153d0e9506a8b
hex207ba468413

2232213210131 has 2 divisors, whose sum is σ = 2232213210132. Its totient is φ = 2232213210130.

The previous prime is 2232213210127. The next prime is 2232213210133. The reversal of 2232213210131 is 1310123122322.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2232213210131 - 22 = 2232213210127 is a prime.

It is a super-3 number, since 3×22322132101313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2232213210133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2232213210097 and 2232213210106.

It is not a weakly prime, because it can be changed into another prime (2232213210133) 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 as a sum of consecutive naturals, namely, 1116106605065 + 1116106605066.

It is an arithmetic number, because the mean of its divisors is an integer number (1116106605066).

Almost surely, 22232213210131 is an apocalyptic number.

2232213210131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232213210131 is an equidigital number, since it uses as much as digits as its factorization.

2232213210131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2232213210131 its reverse (1310123122322), we get a palindrome (3542336332453).

The spelling of 2232213210131 in words is "two trillion, two hundred thirty-two billion, two hundred thirteen million, two hundred ten thousand, one hundred thirty-one".