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22313033213153 is a prime number
BaseRepresentation
bin1010001001011001010000…
…11010110010010011100001
32221000002211122112012201012
411010230220122302103201
510411034043000310103
6115242244351150305
74462030522650314
oct504545032622341
987002748465635
1022313033213153
1171229a4605061
1226044b9815395
13c5b1578a7047
14571d56b8297b
1528a62e8352d8
hex144b286b24e1

22313033213153 has 2 divisors, whose sum is σ = 22313033213154. Its totient is φ = 22313033213152.

The previous prime is 22313033213123. The next prime is 22313033213231. The reversal of 22313033213153 is 35131233031322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13960632650449 + 8352400562704 = 3736393^2 + 2890052^2 .

It is a cyclic number.

It is not a de Polignac number, because 22313033213153 - 222 = 22313029018849 is a prime.

It is a super-3 number, since 3×223130332131533 (a number of 41 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22313033213123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156516606576 + 11156516606577.

It is an arithmetic number, because the mean of its divisors is an integer number (11156516606577).

Almost surely, 222313033213153 is an apocalyptic number.

It is an amenable number.

22313033213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

22313033213153 is an equidigital number, since it uses as much as digits as its factorization.

22313033213153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 32.

Adding to 22313033213153 its reverse (35131233031322), we get a palindrome (57444266244475).

The spelling of 22313033213153 in words is "twenty-two trillion, three hundred thirteen billion, thirty-three million, two hundred thirteen thousand, one hundred fifty-three".