Search a number
-
+
22201202100113 is a prime number
BaseRepresentation
bin1010000110001000111101…
…10000111100011110010001
32220121102011221120001110122
411003010132300330132101
510402221030214200423
6115115031430240025
74450661325120011
oct503043660743621
986542157501418
1022201202100113
11708a52788a693
1225a68a97b6015
13c50744c155ca
1456a788707c41
15287786ada8c8
hex14311ec3c791

22201202100113 has 2 divisors, whose sum is σ = 22201202100114. Its totient is φ = 22201202100112.

The previous prime is 22201202100101. The next prime is 22201202100137. The reversal of 22201202100113 is 31100120210222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22041823096384 + 159379003729 = 4694872^2 + 399223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22201202100113 is a prime.

It is a super-2 number, since 2×222012021001132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22201202100091 and 22201202100100.

It is not a weakly prime, because it can be changed into another prime (22201202100163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11100601050056 + 11100601050057.

It is an arithmetic number, because the mean of its divisors is an integer number (11100601050057).

Almost surely, 222201202100113 is an apocalyptic number.

It is an amenable number.

22201202100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22201202100113 is an equidigital number, since it uses as much as digits as its factorization.

22201202100113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 22201202100113 its reverse (31100120210222), we get a palindrome (53301322310335).

The spelling of 22201202100113 in words is "twenty-two trillion, two hundred one billion, two hundred two million, one hundred thousand, one hundred thirteen".