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310022112133 is a prime number
BaseRepresentation
bin1001000001011101100…
…00100000001110000101
31002122012222022002000101
410200232300200032011
520034411130042013
6354231105444101
731253431321216
oct4405660401605
91078188262011
10310022112133
1110a5304444a8
1250101940631
132330928b986
14110101bd40d
1580e74888dd
hex482ec20385

310022112133 has 2 divisors, whose sum is σ = 310022112134. Its totient is φ = 310022112132.

The previous prime is 310022112079. The next prime is 310022112143. The reversal of 310022112133 is 331211220013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308489154724 + 1532957409 = 555418^2 + 39153^2 .

It is a cyclic number.

It is not a de Polignac number, because 310022112133 - 237 = 172583158661 is a prime.

It is a super-2 number, since 2×3100221121332 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310022112133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310022112143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155011056066 + 155011056067.

It is an arithmetic number, because the mean of its divisors is an integer number (155011056067).

Almost surely, 2310022112133 is an apocalyptic number.

It is an amenable number.

310022112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

310022112133 is an equidigital number, since it uses as much as digits as its factorization.

310022112133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 310022112133 its reverse (331211220013), we get a palindrome (641233332146).

The spelling of 310022112133 in words is "three hundred ten billion, twenty-two million, one hundred twelve thousand, one hundred thirty-three".