Search a number
-
+
100222333213 is a prime number
BaseRepresentation
bin101110101010110110…
…1110111000100011101
3100120200200000001002011
41131111231313010131
53120223404130323
6114012544231221
710145413530202
oct1352555670435
9316620001064
10100222333213
113955a992362
121751030b511
1395b28b6162
144bca7b7ca9
152918a0620d
hex1755b7711d

100222333213 has 2 divisors, whose sum is σ = 100222333214. Its totient is φ = 100222333212.

The previous prime is 100222333201. The next prime is 100222333219. The reversal of 100222333213 is 312333222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64007482009 + 36214851204 = 252997^2 + 190302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222333213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222333219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111166606 + 50111166607.

It is an arithmetic number, because the mean of its divisors is an integer number (50111166607).

Almost surely, 2100222333213 is an apocalyptic number.

It is an amenable number.

100222333213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222333213 is an equidigital number, since it uses as much as digits as its factorization.

100222333213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100222333213 its reverse (312333222001), we get a palindrome (412555555214).

The spelling of 100222333213 in words is "one hundred billion, two hundred twenty-two million, three hundred thirty-three thousand, two hundred thirteen".