Search a number
-
+
111100201201 = 1121754010793
BaseRepresentation
bin110011101111000010…
…1101000100011110001
3101121202202121222200201
41213132011220203301
53310013122414301
6123012210515201
711012111062063
oct1473605504361
9347682558621
10111100201201
1143132192600
1219647295b01
13a62741b332
14553d375733
152d539bd201
hex19de1688f1

111100201201 has 12 divisors (see below), whose sum is σ = 129301840836. Its totient is φ = 95058993920.

The previous prime is 111100201169. The next prime is 111100201297. The reversal of 111100201201 is 102102001111.

It can be written as a sum of positive squares in 2 ways, for example, as 103586778801 + 7513422400 = 321849^2 + 86680^2 .

It is not a de Polignac number, because 111100201201 - 25 = 111100201169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111100202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27003340 + ... + 27007453.

It is an arithmetic number, because the mean of its divisors is an integer number (10775153403).

Almost surely, 2111100201201 is an apocalyptic number.

111100201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111100201201 is a deficient number, since it is larger than the sum of its proper divisors (18201639635).

111100201201 is a wasteful number, since it uses less digits than its factorization.

111100201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54010832 (or 54010821 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111100201201 its reverse (102102001111), we get a palindrome (213202202312).

The spelling of 111100201201 in words is "one hundred eleven billion, one hundred million, two hundred one thousand, two hundred one".

Divisors: 1 11 17 121 187 2057 54010793 594118723 918183481 6535305953 10100018291 111100201201