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100213342241 is a prime number
BaseRepresentation
bin101110101010100101…
…1100100000000100001
3100120200001002020210012
41131111023210000201
53120214103422431
6114012023414305
710145244232355
oct1352513440041
9316601066705
10100213342241
1139555901301
12175092b4395
1395b0a8895c
144bc9517465
152917d2c22b
hex17552e4021

100213342241 has 2 divisors, whose sum is σ = 100213342242. Its totient is φ = 100213342240.

The previous prime is 100213342223. The next prime is 100213342247. The reversal of 100213342241 is 142243312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54699386641 + 45513955600 = 233879^2 + 213340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100213342241 is a prime.

It is a super-2 number, since 2×1002133422412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100213342247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106671120 + 50106671121.

It is an arithmetic number, because the mean of its divisors is an integer number (50106671121).

Almost surely, 2100213342241 is an apocalyptic number.

It is an amenable number.

100213342241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213342241 is an equidigital number, since it uses as much as digits as its factorization.

100213342241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 100213342241 its reverse (142243312001), we get a palindrome (242456654242).

The spelling of 100213342241 in words is "one hundred billion, two hundred thirteen million, three hundred forty-two thousand, two hundred forty-one".