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2102232231 = 331138318481
BaseRepresentation
bin111110101001101…
…1000010010100111
312102111201110111000
41331103120102213
513301132412411
6544334044343
7103044451641
oct17523302247
95374643430
102102232231
11989723210
124a80496b3
132766bcbc8
1415d2ab891
15c4858956
hex7d4d84a7

2102232231 has 32 divisors (see below), whose sum is σ = 3406602240. Its totient is φ = 1270684800.

The previous prime is 2102232229. The next prime is 2102232241. The reversal of 2102232231 is 1322322012.

2102232231 is a `hidden beast` number, since 210 + 223 + 2 + 231 = 666.

It is not a de Polignac number, because 2102232231 - 21 = 2102232229 is a prime.

It is a super-2 number, since 2×21022322312 = 8838760706110474722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102232221) 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 31 ways as a sum of consecutive naturals, for example, 104511 + ... + 122991.

It is an arithmetic number, because the mean of its divisors is an integer number (106456320).

Almost surely, 22102232231 is an apocalyptic number.

2102232231 is a deficient number, since it is larger than the sum of its proper divisors (1304370009).

2102232231 is a wasteful number, since it uses less digits than its factorization.

2102232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18884 (or 18878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2102232231 is about 45850.1061176526. The cubic root of 2102232231 is about 1281.0327421716.

Adding to 2102232231 its reverse (1322322012), we get a palindrome (3424554243).

The spelling of 2102232231 in words is "two billion, one hundred two million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 383 1149 3447 4213 10341 12639 18481 37917 55443 113751 166329 203291 498987 609873 1829619 5488857 7078223 21234669 63704007 77860453 191112021 233581359 700744077 2102232231