Search a number
-
+
12111010101 = 321345667789
BaseRepresentation
bin10110100011101111…
…10101100100110101
31011021001000001120200
423101313311210311
5144300404310401
65321432551113
7606056613231
oct132167654465
934231001520
1012111010101
115155393163
12241bb52499
1311b0161888
1482c6775c1
154ad39c686
hex2d1df5935

12111010101 has 6 divisors (see below), whose sum is σ = 17493681270. Its totient is φ = 8074006728.

The previous prime is 12111010057. The next prime is 12111010139. The reversal of 12111010101 is 10101011121.

It can be written as a sum of positive squares in only one way, i.e., 9885529476 + 2225480625 = 99426^2 + 47175^2 .

It is not a de Polignac number, because 12111010101 - 210 = 12111009077 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: 1345667789 = 12111010101 / (1 + 2 + 1 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111010141) 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, 672833886 + ... + 672833903.

It is an arithmetic number, because the mean of its divisors is an integer number (2915613545).

Almost surely, 212111010101 is an apocalyptic number.

It is an amenable number.

12111010101 is a deficient number, since it is larger than the sum of its proper divisors (5382671169).

12111010101 is a wasteful number, since it uses less digits than its factorization.

12111010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345667795 (or 1345667792 counting only the distinct ones).

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

Adding to 12111010101 its reverse (10101011121), we get a palindrome (22212021222).

The spelling of 12111010101 in words is "twelve billion, one hundred eleven million, ten thousand, one hundred one".

Divisors: 1 3 9 1345667789 4037003367 12111010101