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202212312133 = 1324129183477
BaseRepresentation
bin1011110001010011001…
…0110000010001000101
3201022221112010210012211
42330110302300101011
511303112322442013
6232521155343421
720416003202416
oct2742462602105
9638845123184
10202212312133
1178837640037
12332345b1b71
13160b7771900
149b03c4580d
1553d77c423d
hex2f14cb0445

202212312133 has 12 divisors (see below), whose sum is σ = 224304211908. Its totient is φ = 182104890240.

The previous prime is 202212312023. The next prime is 202212312161. The reversal of 202212312133 is 331213212202.

It can be written as a sum of positive squares in 6 ways, for example, as 28117253124 + 174095059009 = 167682^2 + 417247^2 .

It is a de Polignac number, because none of the positive numbers 2k-202212312133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212312163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14584810 + ... + 14598667.

It is an arithmetic number, because the mean of its divisors is an integer number (18692017659).

Almost surely, 2202212312133 is an apocalyptic number.

It is an amenable number.

202212312133 is a deficient number, since it is larger than the sum of its proper divisors (22091899775).

202212312133 is a wasteful number, since it uses less digits than its factorization.

202212312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29183544 (or 29183531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 202212312133 its reverse (331213212202), we get a palindrome (533425524335).

The spelling of 202212312133 in words is "two hundred two billion, two hundred twelve million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 13 41 169 533 6929 29183477 379385201 1196522557 4932007613 15554793241 202212312133