Search a number
-
+
2111000211 = 34172312909
BaseRepresentation
bin111110111010011…
…0100111010010011
312110010012220220000
41331310310322103
513310404001321
6545250021043
7103212130365
oct17564647223
95403186800
102111000211
11993671781
124aab77783
1327846ca68
14160510d35
15c54db826
hex7dd34e93

2111000211 has 60 divisors (see below), whose sum is σ = 3459128640. Its totient is φ = 1281381120.

The previous prime is 2111000197. The next prime is 2111000239. The reversal of 2111000211 is 1120001112.

It is a happy number.

It is not a de Polignac number, because 2111000211 - 26 = 2111000147 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 = 2111000193 and 2111000202.

It is not an unprimeable number, because it can be changed into a prime (2111000261) 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 59 ways as a sum of consecutive naturals, for example, 724225 + ... + 727133.

It is an arithmetic number, because the mean of its divisors is an integer number (57652144).

Almost surely, 22111000211 is an apocalyptic number.

2111000211 is a deficient number, since it is larger than the sum of its proper divisors (1348128429).

2111000211 is a wasteful number, since it uses less digits than its factorization.

2111000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2111000211 is about 45945.6223268333. The cubic root of 2111000211 is about 1282.8112469163.

Adding to 2111000211 its reverse (1120001112), we get a palindrome (3231001323).

Subtracting from 2111000211 its reverse (1120001112), we obtain a palindrome (990999099).

The spelling of 2111000211 in words is "two billion, one hundred eleven million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 17 27 31 51 81 93 153 279 289 459 527 837 867 1377 1581 2511 2601 2909 4743 7803 8727 8959 14229 23409 26181 26877 42687 49453 78543 80631 90179 148359 235629 241893 270537 445077 725679 811611 840701 1335231 1533043 2434833 2522103 4005693 4599129 7304499 7566309 13797387 22698927 26061731 41392161 68096781 78185193 124176483 234555579 703666737 2111000211