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2232213210133 is a prime number
BaseRepresentation
bin100000011110111010010…
…001101000010000010101
321220101201202222011101021
4200132322101220100111
5243033033040211013
64425244204001141
7320162216136424
oct40367221502025
97811652864337
102232213210133
117907491885a5
1230074b8301b1
1313265c623a1a
147a07acd52bb
153d0e9506a8d
hex207ba468415

2232213210133 has 2 divisors, whose sum is σ = 2232213210134. Its totient is φ = 2232213210132.

The previous prime is 2232213210131. The next prime is 2232213210173. The reversal of 2232213210133 is 3310123122322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1262841032644 + 969372177489 = 1123762^2 + 984567^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232213210133 - 21 = 2232213210131 is a prime.

It is a super-3 number, since 3×22322132101333 (a number of 38 digits) contains 333 as substring.

Together with 2232213210131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2232213210098 and 2232213210107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232213210131) 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, 1116106605066 + 1116106605067.

It is an arithmetic number, because the mean of its divisors is an integer number (1116106605067).

Almost surely, 22232213210133 is an apocalyptic number.

It is an amenable number.

2232213210133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232213210133 is an equidigital number, since it uses as much as digits as its factorization.

2232213210133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2232213210133 its reverse (3310123122322), we get a palindrome (5542336332455).

The spelling of 2232213210133 in words is "two trillion, two hundred thirty-two billion, two hundred thirteen million, two hundred ten thousand, one hundred thirty-three".