Search a number
-
+
21221134134020 = 2256145973783853
BaseRepresentation
bin1001101001100111011100…
…01010010110101100000100
32210010201110022202212021122
410310303232022112230010
510240141340314242040
6113044504320333112
74320114325632002
oct464635612265404
983121408685248
1021221134134020
116841917a91897
12246896aa74198
13bac1b5218892
14535173533a72
1526c0251671b5
hex134cee296b04

21221134134020 has 48 divisors (see below), whose sum is σ = 45304810441968. Its totient is φ = 8347480220160.

The previous prime is 21221134134017. The next prime is 21221134134049. The reversal of 21221134134020 is 2043143112212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8251095390784 + 12970038743236 = 2872472^2 + 3601394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3716414 + ... + 7500266.

It is an arithmetic number, because the mean of its divisors is an integer number (943850217541).

Almost surely, 221221134134020 is an apocalyptic number.

21221134134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221134134020 is an abundant number, since it is smaller than the sum of its proper divisors (24083676307948).

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

21221134134020 is a wasteful number, since it uses less digits than its factorization.

21221134134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788520 (or 3788518 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 21221134134020 its reverse (2043143112212), we get a palindrome (23264277246232).

The spelling of 21221134134020 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred thirty-four million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 4597 9194 18388 22985 45970 91940 280417 560834 1121668 1402085 2804170 3783853 5608340 7567706 15135412 18919265 37838530 75677060 230815033 461630066 923260132 1154075165 2308150330 4616300660 17394372241 34788744482 69577488964 86971861205 173943722410 347887444820 1061056706701 2122113413402 4244226826804 5305283533505 10610567067010 21221134134020