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111012210101 = 1310429818813
BaseRepresentation
bin110011101100011010…
…1111110010110110101
3101121112122001120121002
41213120311332112311
53304323111210401
6122555344533045
711006662134212
oct1473065762665
9347478046532
10111012210101
1143097553591
1219621921185
13a6121208b0
1455317ccb09
152d4addba6b
hex19d8d7e5b5

111012210101 has 8 divisors (see below), whose sum is σ = 119563220280. Its totient is φ = 102462858432.

The previous prime is 111012210079. The next prime is 111012210103. The reversal of 111012210101 is 101012210111.

It can be written as a sum of positive squares in 4 ways, for example, as 34726322500 + 76285887601 = 186350^2 + 276199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111012210101 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 (111012210103) 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 in 7 ways as a sum of consecutive naturals, for example, 273830 + ... + 544983.

It is an arithmetic number, because the mean of its divisors is an integer number (14945402535).

Almost surely, 2111012210101 is an apocalyptic number.

It is an amenable number.

111012210101 is a deficient number, since it is larger than the sum of its proper divisors (8551010179).

111012210101 is a wasteful number, since it uses less digits than its factorization.

111012210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829255.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111012210101 its reverse (101012210111), we get a palindrome (212024420212).

The spelling of 111012210101 in words is "one hundred eleven billion, twelve million, two hundred ten thousand, one hundred one".

Divisors: 1 13 10429 135577 818813 10644569 8539400777 111012210101