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10022033213 is a prime number
BaseRepresentation
bin10010101010101110…
…00001011100111101
3221212110020001000022
421111113001130331
5131011120030323
64334250541525
7503232606503
oct112527013475
927773201008
1010022033213
1142831a3985
121b384378a5
13c3943318a
146b105a673
153d9cb14c8
hex2555c173d

10022033213 has 2 divisors, whose sum is σ = 10022033214. Its totient is φ = 10022033212.

The previous prime is 10022033209. The next prime is 10022033233. The reversal of 10022033213 is 31233022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9833300569 + 188732644 = 99163^2 + 13738^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022033213 - 22 = 10022033209 is a prime.

It is a super-2 number, since 2×100220332132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022033191 and 10022033200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022033233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011016606 + 5011016607.

It is an arithmetic number, because the mean of its divisors is an integer number (5011016607).

Almost surely, 210022033213 is an apocalyptic number.

It is an amenable number.

10022033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022033213 is an equidigital number, since it uses as much as digits as its factorization.

10022033213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10022033213 its reverse (31233022001), we get a palindrome (41255055214).

The spelling of 10022033213 in words is "ten billion, twenty-two million, thirty-three thousand, two hundred thirteen".