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20110311101 is a prime number
BaseRepresentation
bin10010101110101010…
…101111111010111101
31220220112002122122002
4102232222233322331
5312141214423401
613123305432045
71311231552416
oct225652577275
956815078562
1020110311101
11858a823421
123a92a9b625
131b864bb78a
14d8abdc80d
157ca7aaa6b
hex4aeaafebd

20110311101 has 2 divisors, whose sum is σ = 20110311102. Its totient is φ = 20110311100.

The previous prime is 20110311047. The next prime is 20110311161. The reversal of 20110311101 is 10111301102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10140288601 + 9970022500 = 100699^2 + 99850^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110311101 - 218 = 20110048957 is a prime.

It is a super-2 number, since 2×201103111012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20110311161) 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, 10055155550 + 10055155551.

It is an arithmetic number, because the mean of its divisors is an integer number (10055155551).

Almost surely, 220110311101 is an apocalyptic number.

It is an amenable number.

20110311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110311101 is an equidigital number, since it uses as much as digits as its factorization.

20110311101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 20110311101 its reverse (10111301102), we get a palindrome (30221612203).

Subtracting from 20110311101 its reverse (10111301102), we obtain a palindrome (9999009999).

The spelling of 20110311101 in words is "twenty billion, one hundred ten million, three hundred eleven thousand, one hundred one".