Search a number
-
+
22120100212013 is a prime number
BaseRepresentation
bin1010000011110001111001…
…01101110010110100101101
32220022122211211001021011022
411001320330231302310231
510344403431123241023
6115013500031303525
74442060463336446
oct501707455626455
986278754037138
1022120100212013
117059099999791
12259303497aba5
13c45bbb71b5cb
1456689349c2cd
152855dba117c8
hex141e3cb72d2d

22120100212013 has 2 divisors, whose sum is σ = 22120100212014. Its totient is φ = 22120100212012.

The previous prime is 22120100212003. The next prime is 22120100212043. The reversal of 22120100212013 is 31021200102122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20525267152324 + 1594833059689 = 4530482^2 + 1262867^2 .

It is a cyclic number.

It is not a de Polignac number, because 22120100212013 - 242 = 17722053700909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22120100211982 and 22120100212000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22120100212003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060050106006 + 11060050106007.

It is an arithmetic number, because the mean of its divisors is an integer number (11060050106007).

Almost surely, 222120100212013 is an apocalyptic number.

It is an amenable number.

22120100212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120100212013 is an equidigital number, since it uses as much as digits as its factorization.

22120100212013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22120100212013 its reverse (31021200102122), we get a palindrome (53141300314135).

The spelling of 22120100212013 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, two hundred twelve thousand, thirteen".