Search a number
-
+
2200133111 = 112931721757
BaseRepresentation
bin1000001100100011…
…0101110111110111
312200022221100020112
42003020311313313
514001213224421
61002152253235
7105343552151
oct20310656767
95608840215
102200133111
11a29a10630
125149a121b
13290a7a117
1416c2b3ad1
15cd24645b
hex83235df7

2200133111 has 16 divisors (see below), whose sum is σ = 2490855840. Its totient is φ = 1924970880.

The previous prime is 2200133099. The next prime is 2200133119. The reversal of 2200133111 is 1113310022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200133111 is a prime.

It is a super-3 number, since 3×22001331113 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200133119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90245 + ... + 112001.

It is an arithmetic number, because the mean of its divisors is an integer number (155678490).

Almost surely, 22200133111 is an apocalyptic number.

2200133111 is a deficient number, since it is larger than the sum of its proper divisors (290722729).

2200133111 is a wasteful number, since it uses less digits than its factorization.

2200133111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22114.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2200133111 is about 46905.5765447990. The cubic root of 2200133111 is about 1300.6176770842.

Adding to 2200133111 its reverse (1113310022), we get a palindrome (3313443133).

Subtracting from 2200133111 its reverse (1113310022), we obtain a square (1086823089 = 329672).

The spelling of 2200133111 in words is "two billion, two hundred million, one hundred thirty-three thousand, one hundred eleven".

Divisors: 1 11 29 317 319 3487 9193 21757 101123 239327 630953 6896969 6940483 75866659 200012101 2200133111