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1022101210993 is a prime number
BaseRepresentation
bin11101101111110011111…
…10101100011101110001
310121201012222202021100011
432313321332230131301
5113221230402222433
62101314040054521
7133562422642342
oct16677176543561
93551188667304
101022101210993
1136451a53a925
1214610b764441
13754cb096595
14376818120c9
151b8c1bd83cd
hexedf9fac771

1022101210993 has 2 divisors, whose sum is σ = 1022101210994. Its totient is φ = 1022101210992.

The previous prime is 1022101210981. The next prime is 1022101211167. The reversal of 1022101210993 is 3990121012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 716946612529 + 305154598464 = 846727^2 + 552408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022101210993 is a prime.

It is a super-3 number, since 3×10221012109933 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1022101210973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050605496 + 511050605497.

It is an arithmetic number, because the mean of its divisors is an integer number (511050605497).

Almost surely, 21022101210993 is an apocalyptic number.

It is an amenable number.

1022101210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022101210993 is an equidigital number, since it uses as much as digits as its factorization.

1022101210993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 1022101210993 in words is "one trillion, twenty-two billion, one hundred one million, two hundred ten thousand, nine hundred ninety-three".