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2021317657193 is a prime number
BaseRepresentation
bin11101011010011111111…
…010111100001001101001
321011020101002210001002002
4131122133322330021221
5231104124310012233
64144325220220345
7266015064413102
oct35323772741151
97136332701062
102021317657193
1170a26613819a
122878b323a6b5
131187bcc19c03
146db91b713a9
15378a47756e8
hex1d69febc269

2021317657193 has 2 divisors, whose sum is σ = 2021317657194. Its totient is φ = 2021317657192.

The previous prime is 2021317657189. The next prime is 2021317657199. The reversal of 2021317657193 is 3917567131202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1582294799449 + 439022857744 = 1257893^2 + 662588^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021317657193 - 22 = 2021317657189 is a prime.

It is a super-4 number, since 4×20213176571934 (a number of 50 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (2021317657199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010658828596 + 1010658828597.

It is an arithmetic number, because the mean of its divisors is an integer number (1010658828597).

Almost surely, 22021317657193 is an apocalyptic number.

It is an amenable number.

2021317657193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021317657193 is an equidigital number, since it uses as much as digits as its factorization.

2021317657193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 2021317657193 in words is "two trillion, twenty-one billion, three hundred seventeen million, six hundred fifty-seven thousand, one hundred ninety-three".