Search a number
-
+
22120201222001 = 61932813887461
BaseRepresentation
bin1010000011110010000101…
…01111000111011101110001
32220022200002212010002210222
411001321002233013131301
510344404133003101001
6115013514040302425
74442063131036301
oct501710257073561
986280085102728
1022120201222001
117059140a10013
122593062771a15
13c45c06626a2c
145668a2a73601
152855e581561b
hex141e42bc7771

22120201222001 has 8 divisors (see below), whose sum is σ = 22483074277608. Its totient is φ = 21757336128000.

The previous prime is 22120201221983. The next prime is 22120201222033. The reversal of 22120201222001 is 10022210202122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10997175807601 + 11123025414400 = 3316199^2 + 3335120^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22120201222001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22120201222901) 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 7 ways as a sum of consecutive naturals, for example, 3746411 + ... + 7633871.

It is an arithmetic number, because the mean of its divisors is an integer number (2810384284701).

Almost surely, 222120201222001 is an apocalyptic number.

It is an amenable number.

22120201222001 is a deficient number, since it is larger than the sum of its proper divisors (362873055607).

22120201222001 is an equidigital number, since it uses as much as digits as its factorization.

22120201222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980803.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22120201222001 its reverse (10022210202122), we get a palindrome (32142411424123).

The spelling of 22120201222001 in words is "twenty-two trillion, one hundred twenty billion, two hundred one million, two hundred twenty-two thousand, one".

Divisors: 1 61 93281 3887461 5690141 237135121 362626249541 22120201222001