Search a number
-
+
12233100031001 is a prime number
BaseRepresentation
bin1011001000000011110110…
…0101001111010000011001
31121022110202202220120201222
42302000331211033100121
53100411342101443001
642003450352421425
72401545423412433
oct262007545172031
947273682816658
1012233100031001
113997035062223
121456a34547875
136a9765410005
14304129b0d653
1516332722161b
hexb203d94f419

12233100031001 has 2 divisors, whose sum is σ = 12233100031002. Its totient is φ = 12233100031000.

The previous prime is 12233100030971. The next prime is 12233100031013. The reversal of 12233100031001 is 10013000133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10082536440601 + 2150563590400 = 3175301^2 + 1466480^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233100031001 - 26 = 12233100030937 is a prime.

It is a super-2 number, since 2×122331000310012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12233100031601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116550015500 + 6116550015501.

It is an arithmetic number, because the mean of its divisors is an integer number (6116550015501).

Almost surely, 212233100031001 is an apocalyptic number.

It is an amenable number.

12233100031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233100031001 is an equidigital number, since it uses as much as digits as its factorization.

12233100031001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12233100031001 its reverse (10013000133221), we get a palindrome (22246100164222).

The spelling of 12233100031001 in words is "twelve trillion, two hundred thirty-three billion, one hundred million, thirty-one thousand, one".