Search a number
-
+
23100332302213 is a prime number
BaseRepresentation
bin1010100000010011101110…
…00110011101111110000101
310000210100222212122211021221
411100021313012131332011
511011433440032132323
6121044051323040341
74602641524541425
oct520116706357605
9100710885584257
1023100332302213
1173a68833a6441
122710bba6700b1
13cb7476420caa
1459c0c2396485
152a0d5caa455d
hex15027719df85

23100332302213 has 2 divisors, whose sum is σ = 23100332302214. Its totient is φ = 23100332302212.

The previous prime is 23100332302211. The next prime is 23100332302237. The reversal of 23100332302213 is 31220323300132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22174615074049 + 925717228164 = 4708993^2 + 962142^2 .

It is a cyclic number.

It is not a de Polignac number, because 23100332302213 - 21 = 23100332302211 is a prime.

Together with 23100332302211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23100332302211) 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, 11550166151106 + 11550166151107.

It is an arithmetic number, because the mean of its divisors is an integer number (11550166151107).

Almost surely, 223100332302213 is an apocalyptic number.

It is an amenable number.

23100332302213 is a deficient number, since it is larger than the sum of its proper divisors (1).

23100332302213 is an equidigital number, since it uses as much as digits as its factorization.

23100332302213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 23100332302213 its reverse (31220323300132), we get a palindrome (54320655602345).

The spelling of 23100332302213 in words is "twenty-three trillion, one hundred billion, three hundred thirty-two million, three hundred two thousand, two hundred thirteen".