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2223311110133 is a prime number
BaseRepresentation
bin100000010110100111101…
…010110011111111110101
321212112202101002121220212
4200112213222303333311
5242411320121011013
64421213001035205
7316425502423211
oct40264752637765
97775671077825
102223311110133
117879a0184063
122baa86485b05
13131871230429
14798748c5941
153cc77c176a8
hex205a7ab3ff5

2223311110133 has 2 divisors, whose sum is σ = 2223311110134. Its totient is φ = 2223311110132.

The previous prime is 2223311110103. The next prime is 2223311110151. The reversal of 2223311110133 is 3310111133222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1425079650289 + 798231459844 = 1193767^2 + 893438^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223311110133 is a prime.

It is a super-2 number, since 2×22233111101332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2223311110099 and 2223311110108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223311110103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111655555066 + 1111655555067.

It is an arithmetic number, because the mean of its divisors is an integer number (1111655555067).

Almost surely, 22223311110133 is an apocalyptic number.

It is an amenable number.

2223311110133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223311110133 is an equidigital number, since it uses as much as digits as its factorization.

2223311110133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2223311110133 its reverse (3310111133222), we get a palindrome (5533422243355).

The spelling of 2223311110133 in words is "two trillion, two hundred twenty-three billion, three hundred eleven million, one hundred ten thousand, one hundred thirty-three".