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2221121023133 is a prime number
BaseRepresentation
bin100000010100100101001…
…000010010110010011101
321212100002202001200100112
4200110211020102302131
5242342323440220013
64420211403535405
7316320310122005
oct40244510226235
97770082050315
102221121023133
11786a76a05301
122ba574b2a565
131315b258cb6c
1479707aa9005
153cb9a807ba8
hex20525212c9d

2221121023133 has 2 divisors, whose sum is σ = 2221121023134. Its totient is φ = 2221121023132.

The previous prime is 2221121023081. The next prime is 2221121023207. The reversal of 2221121023133 is 3313201211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2053039062649 + 168081960484 = 1432843^2 + 409978^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221121023133 - 28 = 2221121022877 is a prime.

It is a super-2 number, since 2×22211210231332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221121023099 and 2221121023108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221121023333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110560511566 + 1110560511567.

It is an arithmetic number, because the mean of its divisors is an integer number (1110560511567).

Almost surely, 22221121023133 is an apocalyptic number.

It is an amenable number.

2221121023133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221121023133 is an equidigital number, since it uses as much as digits as its factorization.

2221121023133 is an evil number, because the sum of its binary digits is even.

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

Adding to 2221121023133 its reverse (3313201211222), we get a palindrome (5534322234355).

The spelling of 2221121023133 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-three thousand, one hundred thirty-three".