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210120111133 is a prime number
BaseRepresentation
bin1100001110110000100…
…0100111010000011101
3202002100122001121010021
43003230020213100131
511420311222024013
6240310003112141
721115654322122
oct3035410472035
9662318047107
10210120111133
1181125363509
1234880972651
1316a77b7200a
14a25418c749
1556ebb5aa8d
hex30ec22741d

210120111133 has 2 divisors, whose sum is σ = 210120111134. Its totient is φ = 210120111132.

The previous prime is 210120111109. The next prime is 210120111139. The reversal of 210120111133 is 331111021012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208850828004 + 1269283129 = 457002^2 + 35627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210120111133 is a prime.

It is a super-2 number, since 2×2101201111332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210120111139) 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, 105060055566 + 105060055567.

It is an arithmetic number, because the mean of its divisors is an integer number (105060055567).

Almost surely, 2210120111133 is an apocalyptic number.

It is an amenable number.

210120111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

210120111133 is an equidigital number, since it uses as much as digits as its factorization.

210120111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 210120111133 its reverse (331111021012), we get a palindrome (541231132145).

The spelling of 210120111133 in words is "two hundred ten billion, one hundred twenty million, one hundred eleven thousand, one hundred thirty-three".