Search a number
-
+
100201222212023 is a prime number
BaseRepresentation
bin10110110010000111101010…
…010000011000100110110111
3111010210010212110102000111002
4112302013222100120212313
5101113144100341241043
6553035450033033515
730051204460545512
oct2662075220304667
9433703773360432
10100201222212023
1129a22110775359
12b2a38026b589b
1343bac1c7357aa
141aa5a9d365d79
15b8b6e51babb8
hex5b21ea4189b7

100201222212023 has 2 divisors, whose sum is σ = 100201222212024. Its totient is φ = 100201222212022.

The previous prime is 100201222211983. The next prime is 100201222212037. The reversal of 100201222212023 is 320212222102001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100201222212023 - 230 = 100200148470199 is a prime.

It is a super-2 number, since 2×1002012222120232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201222211986 and 100201222212004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201222212053) 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, 50100611106011 + 50100611106012.

It is an arithmetic number, because the mean of its divisors is an integer number (50100611106012).

Almost surely, 2100201222212023 is an apocalyptic number.

100201222212023 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201222212023 is an equidigital number, since it uses as much as digits as its factorization.

100201222212023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100201222212023 its reverse (320212222102001), we get a palindrome (420413444314024).

The spelling of 100201222212023 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, twenty-three".