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22031231201249 is a prime number
BaseRepresentation
bin1010000001001100010111…
…01101011010111111100001
32220000011110101022202121012
411000212023231122333201
510341424430141414444
6114505001412110305
74432463306244554
oct500461355327741
986004411282535
1022031231201249
117024435729646
122579972905395
13c3a6c800a33a
1456246288869b
15283139adcb9e
hex14098bb5afe1

22031231201249 has 2 divisors, whose sum is σ = 22031231201250. Its totient is φ = 22031231201248.

The previous prime is 22031231201173. The next prime is 22031231201267. The reversal of 22031231201249 is 94210213213022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21958296097024 + 72935104225 = 4685968^2 + 270065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22031231201249 is a prime.

It is not a weakly prime, because it can be changed into another prime (22031231201449) 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, 11015615600624 + 11015615600625.

It is an arithmetic number, because the mean of its divisors is an integer number (11015615600625).

Almost surely, 222031231201249 is an apocalyptic number.

It is an amenable number.

22031231201249 is a deficient number, since it is larger than the sum of its proper divisors (1).

22031231201249 is an equidigital number, since it uses as much as digits as its factorization.

22031231201249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 22031231201249 in words is "twenty-two trillion, thirty-one billion, two hundred thirty-one million, two hundred one thousand, two hundred forty-nine".