Search a number
-
+
100012111011 = 3215173592429
BaseRepresentation
bin101110100100100101…
…1111011010010100011
3100120011000102122102200
41131021023323102203
53114311100023021
6113540034344243
710140251626401
oct1351113732243
9316130378380
10100012111011
11394622582aa
1217471a2b083
13957b190117
144baa8d4471
15290532d126
hex17492fb4a3

100012111011 has 12 divisors (see below), whose sum is σ = 145418641680. Its totient is φ = 66233185200.

The previous prime is 100012110997. The next prime is 100012111013. The reversal of 100012111011 is 110111210001.

It is not a de Polignac number, because 100012111011 - 217 = 100011979939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100012110984 and 100012111002.

It is not an unprimeable number, because it can be changed into a prime (100012111013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36794856 + ... + 36797573.

It is an arithmetic number, because the mean of its divisors is an integer number (12118220140).

Almost surely, 2100012111011 is an apocalyptic number.

100012111011 is a deficient number, since it is larger than the sum of its proper divisors (45406530669).

100012111011 is a wasteful number, since it uses less digits than its factorization.

100012111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73592586 (or 73592583 counting only the distinct ones).

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

Adding to 100012111011 its reverse (110111210001), we get a palindrome (210123321012).

The spelling of 100012111011 in words is "one hundred billion, twelve million, one hundred eleven thousand, eleven".

Divisors: 1 3 9 151 453 1359 73592429 220777287 662331861 11112456779 33337370337 100012111011