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100222221241 is a prime number
BaseRepresentation
bin101110101010110110…
…1011011101110111001
3100120200122210100111001
41131111231123232321
53120223342034431
6114012542005001
710145412552562
oct1352555335671
9316618710431
10100222221241
113955a91621a
1217510276761
1395b28771bc
144bca789169
1529189d2e61
hex1755b5bbb9

100222221241 has 2 divisors, whose sum is σ = 100222221242. Its totient is φ = 100222221240.

The previous prime is 100222221181. The next prime is 100222221259. The reversal of 100222221241 is 142122222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90096025600 + 10126195641 = 300160^2 + 100629^2 .

It is an emirp because it is prime and its reverse (142122222001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222221241 is a prime.

It is a super-3 number, since 3×1002222212413 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100222224241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111110620 + 50111110621.

It is an arithmetic number, because the mean of its divisors is an integer number (50111110621).

Almost surely, 2100222221241 is an apocalyptic number.

It is an amenable number.

100222221241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222221241 is an equidigital number, since it uses as much as digits as its factorization.

100222221241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 100222221241 its reverse (142122222001), we get a palindrome (242344443242).

The spelling of 100222221241 in words is "one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred forty-one".