Search a number
-
+
2220222101131 is a prime number
BaseRepresentation
bin100000010011101111100…
…011001011011010001011
321212020210002120201012001
4200103233203023122023
5242334003324214011
64415542252531431
7316256113323106
oct40235743133213
97766702521161
102220222101131
11786655549961
122ba363a80b77
1313149b283058
147966054d73d
153cb469407c1
hex204ef8cb68b

2220222101131 has 2 divisors, whose sum is σ = 2220222101132. Its totient is φ = 2220222101130.

The previous prime is 2220222101107. The next prime is 2220222101147. The reversal of 2220222101131 is 1311012220222.

2220222101131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2220222101131 - 219 = 2220221576843 is a prime.

It is a super-2 number, since 2×22202221011312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220222101099 and 2220222101108.

It is not a weakly prime, because it can be changed into another prime (2220222101101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110111050565 + 1110111050566.

It is an arithmetic number, because the mean of its divisors is an integer number (1110111050566).

Almost surely, 22220222101131 is an apocalyptic number.

2220222101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220222101131 is an equidigital number, since it uses as much as digits as its factorization.

2220222101131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2220222101131 its reverse (1311012220222), we get a palindrome (3531234321353).

The spelling of 2220222101131 in words is "two trillion, two hundred twenty billion, two hundred twenty-two million, one hundred one thousand, one hundred thirty-one".