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202121131221 = 333125123833
BaseRepresentation
bin1011110000111101011…
…0111011010011010101
3201022201011120022112000
42330033112323103111
511302421002144341
6232504141145513
720413515161022
oct2741726732325
9638634508460
10202121131221
11787a0122509
1233209b5b299
13160a18c82c9
149ad5aac549
1553ce7b28b6
hex2f0f5bb4d5

202121131221 has 48 divisors (see below), whose sum is σ = 310415362560. Its totient is φ = 129847320000.

The previous prime is 202121131211. The next prime is 202121131237. The reversal of 202121131221 is 122131121202.

202121131221 is a `hidden beast` number, since 202 + 1 + 211 + 31 + 221 = 666.

It is not a de Polignac number, because 202121131221 - 230 = 201047389397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202121131194 and 202121131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52729921 + ... + 52733753.

It is an arithmetic number, because the mean of its divisors is an integer number (6466986720).

Almost surely, 2202121131221 is an apocalyptic number.

It is an amenable number.

202121131221 is a deficient number, since it is larger than the sum of its proper divisors (108294231339).

202121131221 is an equidigital number, since it uses as much as digits as its factorization.

202121131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 202121131221 its reverse (122131121202), we get a palindrome (324252252423).

The spelling of 202121131221 in words is "two hundred two billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 31 93 251 279 753 837 2259 3833 6777 7781 11499 23343 34497 63001 70029 103491 118823 189003 210087 356469 567009 962083 1069407 1701027 1953031 2886249 3208221 5859093 8658747 17577279 25976241 29824573 52731837 89473719 241482833 268421157 724448499 805263471 2173345497 6520036491 7485967823 22457903469 67373710407 202121131221