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100332210221 is a prime number
BaseRepresentation
bin101110101110001000…
…1000000100000101101
3100120222022202100222222
41131130101000200231
53120440021211341
6114031511245125
710151216500265
oct1353421004055
9316868670888
10100332210221
1139606a0a601
12175410797a5
1395cc5a7539
144bdb21a7a5
1529234ac44b
hex175c44082d

100332210221 has 2 divisors, whose sum is σ = 100332210222. Its totient is φ = 100332210220.

The previous prime is 100332210211. The next prime is 100332210227. The reversal of 100332210221 is 122012233001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100052016100 + 280194121 = 316310^2 + 16739^2 .

It is a cyclic number.

It is not a de Polignac number, because 100332210221 - 234 = 83152341037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100332210221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100332210227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166105110 + 50166105111.

It is an arithmetic number, because the mean of its divisors is an integer number (50166105111).

Almost surely, 2100332210221 is an apocalyptic number.

It is an amenable number.

100332210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100332210221 is an equidigital number, since it uses as much as digits as its factorization.

100332210221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100332210221 its reverse (122012233001), we get a palindrome (222344443222).

The spelling of 100332210221 in words is "one hundred billion, three hundred thirty-two million, two hundred ten thousand, two hundred twenty-one".