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1322010220001 = 12134229257713
BaseRepresentation
bin10011001111001101111…
…100110001010111100001
311200101100011110110220112
4103033031330301113201
5133124434104020001
62451153443021105
7164340434314112
oct23171574612741
94611304413815
101322010220001
1146a730339259
1219426a66a795
13978850b7163
1447db282a209
15245c63c1cbb
hex133cdf315e1

1322010220001 has 8 divisors (see below), whose sum is σ = 1323418087080. Its totient is φ = 1320602879232.

The previous prime is 1322010219973. The next prime is 1322010220009. The reversal of 1322010220001 is 1000220102231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107044134976 + 1214966085025 = 327176^2 + 1102255^2 .

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 1322010220001 - 214 = 1322010203617 is a prime.

It is a super-2 number, since 2×13220102200012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1322010220009) 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, 5000921 + ... + 5258633.

It is an arithmetic number, because the mean of its divisors is an integer number (165427260885).

Almost surely, 21322010220001 is an apocalyptic number.

It is an amenable number.

1322010220001 is a deficient number, since it is larger than the sum of its proper divisors (1407867079).

1322010220001 is a wasteful number, since it uses less digits than its factorization.

1322010220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263155.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1322010220001 its reverse (1000220102231), we get a palindrome (2322230322232).

The spelling of 1322010220001 in words is "one trillion, three hundred twenty-two billion, ten million, two hundred twenty thousand, one".

Divisors: 1 1213 4229 257713 5129777 312605869 1089868277 1322010220001