Search a number
-
+
22100122121131 is a prime number
BaseRepresentation
bin1010000011001100101011…
…11011011011001110101011
32220020202021111202002120101
411001212111323123032223
510344042022230334011
6115000353403410231
74440452425352515
oct501462573331653
986222244662511
1022100122121131
11705067787437a
12258b19a223977
13c44056745062
1456591a07abb5
15284d1cb722c1
hex141995edb3ab

22100122121131 has 2 divisors, whose sum is σ = 22100122121132. Its totient is φ = 22100122121130.

The previous prime is 22100122121083. The next prime is 22100122121201. The reversal of 22100122121131 is 13112122100122.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22100122121131 is a prime.

It is a super-2 number, since 2×221001221211312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100122121099 and 22100122121108.

It is not a weakly prime, because it can be changed into another prime (22100122122131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050061060565 + 11050061060566.

It is an arithmetic number, because the mean of its divisors is an integer number (11050061060566).

Almost surely, 222100122121131 is an apocalyptic number.

22100122121131 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100122121131 is an equidigital number, since it uses as much as digits as its factorization.

22100122121131 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 19.

Adding to 22100122121131 its reverse (13112122100122), we get a palindrome (35212244221253).

The spelling of 22100122121131 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty-one".