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111211000101 = 3212356777789
BaseRepresentation
bin110011110010010110…
…0010011000100100101
3101122001111010011012200
41213210230103010211
53310230004000401
6123031205405113
711014624621665
oct1474454230445
9348044104180
10111211000101
114318978a443
1219678409799
13a644373206
14554dd781a5
152d5d5a7686
hex19e4b13125

111211000101 has 6 divisors (see below), whose sum is σ = 160638111270. Its totient is φ = 74140666728.

The previous prime is 111211000073. The next prime is 111211000157. The reversal of 111211000101 is 101000112111.

It can be written as a sum of positive squares in only one way, i.e., 63882562500 + 47328437601 = 252750^2 + 217551^2 .

It is not a de Polignac number, because 111211000101 - 27 = 111210999973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12356777789 = 111211000101 / (1 + 1 + 1 + 2 + 1 + 1 + 0 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211000181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6178388886 + ... + 6178388903.

It is an arithmetic number, because the mean of its divisors is an integer number (26773018545).

Almost surely, 2111211000101 is an apocalyptic number.

It is an amenable number.

111211000101 is a deficient number, since it is larger than the sum of its proper divisors (49427111169).

111211000101 is a wasteful number, since it uses less digits than its factorization.

111211000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356777795 (or 12356777792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111211000101 its reverse (101000112111), we get a palindrome (212211112212).

The spelling of 111211000101 in words is "one hundred eleven billion, two hundred eleven million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 12356777789 37070333367 111211000101