Search a number
-
+
2106111700 = 2252711273521
BaseRepresentation
bin111110110001000…
…1011011011010100
312102210000120010001
41331202023123110
513303131033300
6544553141044
7103122440230
oct17542133324
95383016101
102106111700
11990932990
124a93ba784
1327744a954
1415d9db5c0
15c4d7316a
hex7d88b6d4

2106111700 has 72 divisors (see below), whose sum is σ = 5698010304. Its totient is φ = 656448000.

The previous prime is 2106111671. The next prime is 2106111703. The reversal of 2106111700 is 71116012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106111703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129061 + ... + 144460.

It is an arithmetic number, because the mean of its divisors is an integer number (79139032).

Almost surely, 22106111700 is an apocalyptic number.

2106111700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106111700 is an abundant number, since it is smaller than the sum of its proper divisors (3591898604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2106111700 is a wasteful number, since it uses less digits than its factorization.

2106111700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273553 (or 273546 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 2106111700 is about 45892.3926157702. The cubic root of 2106111700 is about 1281.8202658359.

Adding to 2106111700 its reverse (71116012), we get a palindrome (2177227712).

It can be divided in two parts, 21061 and 11700, that added together give a square (32761 = 1812).

The spelling of 2106111700 in words is "two billion, one hundred six million, one hundred eleven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 273521 547042 1094084 1367605 1914647 2735210 3008731 3829294 5470420 6017462 6838025 7658588 9573235 12034924 13676050 15043655 19146470 21061117 27352100 30087310 38292940 42122234 47866175 60174620 75218275 84244468 95732350 105305585 150436550 191464700 210611170 300873100 421222340 526527925 1053055850 2106111700