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20101313333 is a prime number
BaseRepresentation
bin10010101110001000…
…011011001100110101
31220212220011112000102
4102232020123030311
5312131414011313
613122344523445
71311062226023
oct225610331465
956786145012
1020101313333
118585738252
123a8ba80585
131b8468b15a
14d89939713
157c9acea58
hex4ae21b335

20101313333 has 2 divisors, whose sum is σ = 20101313334. Its totient is φ = 20101313332.

The previous prime is 20101313327. The next prime is 20101313389. The reversal of 20101313333 is 33331310102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16003009009 + 4098304324 = 126503^2 + 64018^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101313333 - 212 = 20101309237 is a prime.

It is a super-2 number, since 2×201013133332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101313833) 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, 10050656666 + 10050656667.

It is an arithmetic number, because the mean of its divisors is an integer number (10050656667).

Almost surely, 220101313333 is an apocalyptic number.

It is an amenable number.

20101313333 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101313333 is an equidigital number, since it uses as much as digits as its factorization.

20101313333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 20101313333 its reverse (33331310102), we get a palindrome (53432623435).

The spelling of 20101313333 in words is "twenty billion, one hundred one million, three hundred thirteen thousand, three hundred thirty-three".