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202122201213 = 32101257865201
BaseRepresentation
bin1011110000111101101…
…1000000100001111101
3201022201020120200021100
42330033123000201331
511302421240414323
6232504220123313
720413530235362
oct2741733004175
9638636520240
10202122201213
11787a07933a9
123320a396539
13160a1bb133a
149ad5caa469
1553ce924943
hex2f0f6c087d

202122201213 has 24 divisors (see below), whose sum is σ = 295992525816. Its totient is φ = 132894720000.

The previous prime is 202122201139. The next prime is 202122201227. The reversal of 202122201213 is 312102221202.

202122201213 is a `hidden beast` number, since 20 + 212 + 220 + 1 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140874860889 + 61247340324 = 375333^2 + 247482^2 .

It is not a de Polignac number, because 202122201213 - 29 = 202122200701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122201013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198988 + ... + 666213.

It is an arithmetic number, because the mean of its divisors is an integer number (12333021909).

Almost surely, 2202122201213 is an apocalyptic number.

It is an amenable number.

202122201213 is a deficient number, since it is larger than the sum of its proper divisors (93870324603).

202122201213 is a wasteful number, since it uses less digits than its factorization.

202122201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865565 (or 865562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202122201213 its reverse (312102221202), we get a palindrome (514224422415).

The spelling of 202122201213 in words is "two hundred two billion, one hundred twenty-two million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 101 257 303 771 909 2313 25957 77871 233613 865201 2595603 7786809 87385301 222356657 262155903 667069971 786467709 2001209913 22458022357 67374067071 202122201213