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22320133313197 is a prime number
BaseRepresentation
bin1010001001100110011111…
…00111100001001010101101
32221000210011110121122221111
411010303033213201022231
510411143113112010242
6115245421103032021
74462401465546406
oct504631747411255
987023143548844
1022320133313197
117125a08409335
12260595b59b611
13c5ba1985a185
1457242bb189ad
1528a8e7d23817
hex144ccf9e12ad

22320133313197 has 2 divisors, whose sum is σ = 22320133313198. Its totient is φ = 22320133313196.

The previous prime is 22320133313161. The next prime is 22320133313279. The reversal of 22320133313197 is 79131333102322.

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., 19830446953321 + 2489686359876 = 4453139^2 + 1577874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22320133313197 is a prime.

It is a super-3 number, since 3×223201333131973 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22320133313147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11160066656598 + 11160066656599.

It is an arithmetic number, because the mean of its divisors is an integer number (11160066656599).

Almost surely, 222320133313197 is an apocalyptic number.

It is an amenable number.

22320133313197 is a deficient number, since it is larger than the sum of its proper divisors (1).

22320133313197 is an equidigital number, since it uses as much as digits as its factorization.

22320133313197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 40.

The spelling of 22320133313197 in words is "twenty-two trillion, three hundred twenty billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred ninety-seven".