Search a number
-
+
2100101211 = 3213149179673
BaseRepresentation
bin111110100101101…
…0000000001011011
312102100201012021100
41331023100001123
513300111214321
6544220242443
7103020365025
oct17513200133
95370635240
102100101211
119884a813a
124a73a0423
13276124c50
1415ccb5015
15c4587326
hex7d2d005b

2100101211 has 48 divisors (see below), whose sum is σ = 3312036000. Its totient is φ = 1274628096.

The previous prime is 2100101191. The next prime is 2100101243. The reversal of 2100101211 is 1121010012.

Adding to 2100101211 its reverse (1121010012), we get a palindrome (3221111223).

It is a happy number.

It is not a de Polignac number, because 2100101211 - 29 = 2100100699 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 = 2100101193 and 2100101202.

It is not an unprimeable number, because it can be changed into a prime (2100101251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3120171 + ... + 3120843.

It is an arithmetic number, because the mean of its divisors is an integer number (69000750).

Almost surely, 22100101211 is an apocalyptic number.

2100101211 is a deficient number, since it is larger than the sum of its proper divisors (1211934789).

2100101211 is a wasteful number, since it uses less digits than its factorization.

2100101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

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

The square root of 2100101211 is about 45826.8612387975. The cubic root of 2100101211 is about 1280.5997374662.

The spelling of 2100101211 in words is "two billion, one hundred million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 9 13 39 117 149 179 447 537 673 1341 1611 1937 2019 2327 5811 6057 6981 8749 17433 20943 26247 26671 78741 80013 100277 120467 240039 300831 346723 361401 902493 1040169 1084203 1303601 1566071 3120507 3910803 4698213 11732409 14094639 17949583 53848749 161546247 233344579 700033737 2100101211