Search a number
-
+
2220101100131 is a prime number
BaseRepresentation
bin100000010011101000010…
…101100110001001100011
321212020110122220020000112
4200103220111212021203
5242333231340201011
64415522251241535
7316253113662365
oct40235025461143
97766418806015
102220101100131
117865a3214032
122ba32b4492ab
1313147c198625
147964c452d35
153cb3aedd58b
hex204e8566263

2220101100131 has 2 divisors, whose sum is σ = 2220101100132. Its totient is φ = 2220101100130.

The previous prime is 2220101100083. The next prime is 2220101100167. The reversal of 2220101100131 is 1310011010222.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2220101100131 - 222 = 2220096905827 is a prime.

It is a super-2 number, since 2×22201011001312 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2220101100731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110050550065 + 1110050550066.

It is an arithmetic number, because the mean of its divisors is an integer number (1110050550066).

Almost surely, 22220101100131 is an apocalyptic number.

2220101100131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220101100131 is an equidigital number, since it uses as much as digits as its factorization.

2220101100131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2220101100131 its reverse (1310011010222), we get a palindrome (3530112110353).

It can be divided in two parts, 2220101 and 100131, that added together give a palindrome (2320232).

The spelling of 2220101100131 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred thousand, one hundred thirty-one".