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202002033213 = 32160119497193
BaseRepresentation
bin1011110000100001000…
…0100110101000111101
3201022101212110111202200
42330020100212220331
511302200010030323
6232444244342113
720410540644351
oct2741020465075
9638355414680
10202002033213
1178739977402
12331960a4939
1316083028b06
149ac3d49461
1553c40d9443
hex2f08426a3d

202002033213 has 24 divisors (see below), whose sum is σ = 292153375800. Its totient is φ = 134496153600.

The previous prime is 202002033199. The next prime is 202002033217. The reversal of 202002033213 is 312330200202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75406258404 + 126595774809 = 274602^2 + 355803^2 .

It is not a de Polignac number, because 202002033213 - 226 = 201934924349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202002033217) 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 in 23 ways as a sum of consecutive naturals, for example, 28079545 + ... + 28086737.

It is an arithmetic number, because the mean of its divisors is an integer number (12173057325).

Almost surely, 2202002033213 is an apocalyptic number.

It is an amenable number.

202002033213 is a deficient number, since it is larger than the sum of its proper divisors (90151342587).

202002033213 is a wasteful number, since it uses less digits than its factorization.

202002033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 202002033213 its reverse (312330200202), we get a palindrome (514332233415).

The spelling of 202002033213 in words is "two hundred two billion, two million, thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 1601 1949 4803 5847 7193 14409 17541 21579 64737 3120349 9361047 11515993 14019157 28083141 34547979 42057471 103643937 126172413 22444670357 67334011071 202002033213