Search a number
-
+
20121132101 = 72410635349
BaseRepresentation
bin10010101111010100…
…000001110001000101
31220221021110102020212
4102233110001301011
5312202002211401
613124333405205
71311422541500
oct225724016105
956837412225
1020121132101
1185959443a4
123a96639805
131b88809c35
14d8c418137
157cb6e6dbb
hex4af501c45

20121132101 has 6 divisors (see below), whose sum is σ = 23406214950. Its totient is φ = 17246684616.

The previous prime is 20121132013. The next prime is 20121132121. The reversal of 20121132101 is 10123112102.

It can be written as a sum of positive squares in only one way, i.e., 19711879201 + 409252900 = 140399^2 + 20230^2 .

It is not a de Polignac number, because 20121132101 - 214 = 20121115717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121132121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205317626 + ... + 205317723.

It is an arithmetic number, because the mean of its divisors is an integer number (3901035825).

Almost surely, 220121132101 is an apocalyptic number.

It is an amenable number.

20121132101 is a deficient number, since it is larger than the sum of its proper divisors (3285082849).

20121132101 is an equidigital number, since it uses as much as digits as its factorization.

20121132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410635363 (or 410635356 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20121132101 its reverse (10123112102), we get a palindrome (30244244203).

The spelling of 20121132101 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 7 49 410635349 2874447443 20121132101