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1022211198929 is a prime number
BaseRepresentation
bin11101110000000001000…
…10010000111111010001
310121201111122201020102102
432320000202100333101
5113221442031331204
62101333005330145
7133565226554024
oct16700042207721
93551448636372
101022211198929
11364576633448
12146140566955
1375517ac62bb
14376922831bb
151b8cb6b241e
hexee00890fd1

1022211198929 has 2 divisors, whose sum is σ = 1022211198930. Its totient is φ = 1022211198928.

The previous prime is 1022211198917. The next prime is 1022211198977. The reversal of 1022211198929 is 9298911122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 849447939025 + 172763259904 = 921655^2 + 415648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022211198929 is a prime.

It is a super-2 number, since 2×10222111989292 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1022211198629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511105599464 + 511105599465.

It is an arithmetic number, because the mean of its divisors is an integer number (511105599465).

Almost surely, 21022211198929 is an apocalyptic number.

It is an amenable number.

1022211198929 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022211198929 is an equidigital number, since it uses as much as digits as its factorization.

1022211198929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 47.

The spelling of 1022211198929 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred ninety-eight thousand, nine hundred twenty-nine".