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332322210101137 is a prime number
BaseRepresentation
bin100101110001111101100101…
…1010010001011011110010001
31121120122200201012122021002211
41023203323023102023132101
5322024231341241214022
63134442414333112121
7126666326110303324
oct11343731322133621
91546580635567084
10332322210101137
119698506aa86343
123133232b928641
1311357b0843bbb9
145c0c6a34067bb
1528646e3aa4e77
hex12e3ecb48b791

332322210101137 has 2 divisors, whose sum is σ = 332322210101138. Its totient is φ = 332322210101136.

The previous prime is 332322210101111. The next prime is 332322210101143. The reversal of 332322210101137 is 731101012223233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329082674484496 + 3239535616641 = 18140636^2 + 1799871^2 .

It is an emirp because it is prime and its reverse (731101012223233) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332322210101137 is a prime.

It is a super-2 number, since 2×3323222101011372 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332322210101099 and 332322210101108.

It is not a weakly prime, because it can be changed into another prime (332322210101837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166161105050568 + 166161105050569.

It is an arithmetic number, because the mean of its divisors is an integer number (166161105050569).

Almost surely, 2332322210101137 is an apocalyptic number.

It is an amenable number.

332322210101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

332322210101137 is an equidigital number, since it uses as much as digits as its factorization.

332322210101137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 332322210101137 in words is "three hundred thirty-two trillion, three hundred twenty-two billion, two hundred ten million, one hundred one thousand, one hundred thirty-seven".