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22131013001 is a prime number
BaseRepresentation
bin10100100111000111…
…000111010110001001
32010010100101221112012
4110213013013112021
5330311014404001
614100012225305
71412266335536
oct244707072611
963110357465
1022131013001
11942741a699
12435776b235
132119033886
1410dd325d8d
15897dac2bb
hex5271c7589

22131013001 has 2 divisors, whose sum is σ = 22131013002. Its totient is φ = 22131013000.

The previous prime is 22131012997. The next prime is 22131013033. The reversal of 22131013001 is 10031013122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17942334601 + 4188678400 = 133949^2 + 64720^2 .

It is a cyclic number.

It is not a de Polignac number, because 22131013001 - 22 = 22131012997 is a prime.

It is not a weakly prime, because it can be changed into another prime (22131013081) 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 as a sum of consecutive naturals, namely, 11065506500 + 11065506501.

It is an arithmetic number, because the mean of its divisors is an integer number (11065506501).

Almost surely, 222131013001 is an apocalyptic number.

It is an amenable number.

22131013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131013001 is an equidigital number, since it uses as much as digits as its factorization.

22131013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 22131013001 its reverse (10031013122), we get a palindrome (32162026123).

The spelling of 22131013001 in words is "twenty-two billion, one hundred thirty-one million, thirteen thousand, one".