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12233540532217 is a prime number
BaseRepresentation
bin1011001000000101011111…
…0101100111011111111001
31121022111220110210100210211
42302001113311213133321
53100413242334012332
642004002210111121
72401562352540514
oct262012765473771
947274813710724
1012233540532217
113997240780314
121456b37b7b4a1
136a9805762314
1430416c417d7b
15163350c35447
hexb2057d677f9

12233540532217 has 2 divisors, whose sum is σ = 12233540532218. Its totient is φ = 12233540532216.

The previous prime is 12233540532197. The next prime is 12233540532229. The reversal of 12233540532217 is 71223504533221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12196746003456 + 36794528761 = 3492384^2 + 191819^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12233540532217 is a prime.

It is a super-2 number, since 2×122335405322172 (a number of 27 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 12233540532217.

It is not a weakly prime, because it can be changed into another prime (12233540539217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116770266108 + 6116770266109.

It is an arithmetic number, because the mean of its divisors is an integer number (6116770266109).

Almost surely, 212233540532217 is an apocalyptic number.

It is an amenable number.

12233540532217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233540532217 is an equidigital number, since it uses as much as digits as its factorization.

12233540532217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 12233540532217 in words is "twelve trillion, two hundred thirty-three billion, five hundred forty million, five hundred thirty-two thousand, two hundred seventeen".