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1022153411093 is a prime number
BaseRepresentation
bin11101101111111010001…
…01110100101000010101
310121201100121222022102012
432313331011310220111
5113221332233123333
62101323142554005
7133563625432253
oct16677505645025
93551317868365
101022153411093
11364546a53601
12146125138905
1375508b42209
143768871d5d3
151b8c6599e48
hexedfd174a15

1022153411093 has 2 divisors, whose sum is σ = 1022153411094. Its totient is φ = 1022153411092.

The previous prime is 1022153411089. The next prime is 1022153411113. The reversal of 1022153411093 is 3901143512201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 534246970084 + 487906441009 = 730922^2 + 698503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022153411093 - 22 = 1022153411089 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022153411023) 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, 511076705546 + 511076705547.

It is an arithmetic number, because the mean of its divisors is an integer number (511076705547).

Almost surely, 21022153411093 is an apocalyptic number.

It is an amenable number.

1022153411093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022153411093 is an equidigital number, since it uses as much as digits as its factorization.

1022153411093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 1022153411093 its reverse (3901143512201), we get a palindrome (4923296923294).

The spelling of 1022153411093 in words is "one trillion, twenty-two billion, one hundred fifty-three million, four hundred eleven thousand, ninety-three".