Search a number
-
+
2202121332121 = 29353215113933
BaseRepresentation
bin100000000010111000101…
…010001110010110011001
321210112001121210101001211
4200002320222032112121
5242034421030111441
64403350210343121
7315045422323564
oct40027052162631
97715047711054
102202121332121
11779a070a0227
122b6951b8aaa1
1312c8751ccc49
14788245b14db
153c4377cea81
hex200b8a8e599

2202121332121 has 8 divisors (see below), whose sum is σ = 2284509979080. Its totient is φ = 2120162913792.

The previous prime is 2202121332107. The next prime is 2202121332139. The reversal of 2202121332121 is 1212331212022.

It can be written as a sum of positive squares in 4 ways, for example, as 229571306496 + 1972550025625 = 479136^2 + 1404475^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2202121332121 - 29 = 2202121331609 is a prime.

It is a super-2 number, since 2×22021213321212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2202121332092 and 2202121332101.

It is not an unprimeable number, because it can be changed into a prime (2202121332221) 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 7 ways as a sum of consecutive naturals, for example, 107546730 + ... + 107567203.

It is an arithmetic number, because the mean of its divisors is an integer number (285563747385).

Almost surely, 22202121332121 is an apocalyptic number.

It is an amenable number.

2202121332121 is a deficient number, since it is larger than the sum of its proper divisors (82388646959).

2202121332121 is a wasteful number, since it uses less digits than its factorization.

2202121332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215114315.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2202121332121 its reverse (1212331212022), we get a palindrome (3414452544143).

The spelling of 2202121332121 in words is "two trillion, two hundred two billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 29 353 10237 215113933 6238304057 75935218349 2202121332121