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3122022202213 = 101265011166413
BaseRepresentation
bin101101011011100111000…
…001100011101101100101
3102001110111002120101212211
4231123213001203231211
5402122400140432323
610350123122443421
7441362422601545
oct55334701435545
912043432511784
103122022202213
11aa40511622a2
1242509ab03571
13198536966215
14ab16ca37325
1556326ee570d
hex2d6e7063b65

3122022202213 has 8 divisors (see below), whose sum is σ = 3153054990456. Its totient is φ = 3090991800000.

The previous prime is 3122022202163. The next prime is 3122022202219.

3122022202213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1044682277409 + 2077339924804 = 1022097^2 + 1441298^2 .

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 3122022202213 - 217 = 3122022071141 is a prime.

It is a super-2 number, since 2×31220222022132 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122022202219) 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, 2093395 + ... + 3259807.

It is an arithmetic number, because the mean of its divisors is an integer number (394131873807).

Almost surely, 23122022202213 is an apocalyptic number.

It is an amenable number.

3122022202213 is a deficient number, since it is larger than the sum of its proper divisors (31032788243).

3122022202213 is a wasteful number, since it uses less digits than its factorization.

3122022202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193015.

The product of its (nonzero) digits is 1152, while the sum is 22.

Multiplying 3122022202213 by its sum of digits (22), we get a palindrome (68684488448686).

The spelling of 3122022202213 in words is "three trillion, one hundred twenty-two billion, twenty-two million, two hundred two thousand, two hundred thirteen".

Divisors: 1 101 26501 1166413 2676601 117807713 30911110913 3122022202213