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202022000009993 is a prime number
BaseRepresentation
bin101101111011110011101001…
…100011000010001100001001
3222111022010002112101012201102
4231323303221203002030021
5202434412024000304433
61553355343043031145
760360415326652442
oct5573635143021411
9874263075335642
10202022000009993
115940905a337279
121a7a927306b4b5
138895792679937
1437c5cba2582c9
1518550c869d4e8
hexb7bce98c2309

202022000009993 has 2 divisors, whose sum is σ = 202022000009994. Its totient is φ = 202022000009992.

The previous prime is 202022000009971. The next prime is 202022000010013. The reversal of 202022000009993 is 399900000220202.

202022000009993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102938231639104 + 99083768370889 = 10145848^2 + 9954083^2 .

It is a cyclic number.

It is not a de Polignac number, because 202022000009993 - 230 = 202020926268169 is a prime.

It is a super-2 number, since 2×2020220000099932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202022000009923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101011000004996 + 101011000004997.

It is an arithmetic number, because the mean of its divisors is an integer number (101011000004997).

Almost surely, 2202022000009993 is an apocalyptic number.

It is an amenable number.

202022000009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

202022000009993 is an equidigital number, since it uses as much as digits as its factorization.

202022000009993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 38.

The spelling of 202022000009993 in words is "two hundred two trillion, twenty-two billion, nine thousand, nine hundred ninety-three".