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3122323012001 is a prime number
BaseRepresentation
bin101101011011111000111…
…101000011100110100001
3102001111021001121010100002
4231123320331003212201
5402124004142341001
610350213030105345
7441403034463164
oct55337075034641
912044231533302
103122323012001
11aa4195a3a126
124251637ab255
1319858408878b
14ab19a97badb
155634361446b
hex2d6f8f439a1

3122323012001 has 2 divisors, whose sum is σ = 3122323012002. Its totient is φ = 3122323012000.

The previous prime is 3122323011971. The next prime is 3122323012049. The reversal of 3122323012001 is 1002103232213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3116266437025 + 6056574976 = 1765295^2 + 77824^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122323012001 - 234 = 3105143142817 is a prime.

It is not a weakly prime, because it can be changed into another prime (3122323012801) 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 as a sum of consecutive naturals, namely, 1561161506000 + 1561161506001.

It is an arithmetic number, because the mean of its divisors is an integer number (1561161506001).

Almost surely, 23122323012001 is an apocalyptic number.

It is an amenable number.

3122323012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122323012001 is an equidigital number, since it uses as much as digits as its factorization.

3122323012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3122323012001 its reverse (1002103232213), we get a palindrome (4124426244214).

It can be divided in two parts, 312232 and 3012001, that added together give a palindrome (3324233).

The spelling of 3122323012001 in words is "three trillion, one hundred twenty-two billion, three hundred twenty-three million, twelve thousand, one".