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21231231220 = 22537181293541
BaseRepresentation
bin10011110001011110…
…101110000011110100
32000210122022021222001
4103301132232003310
5321440143344340
613430430545044
71351062326203
oct236136560364
960718267861
1021231231220
119005527291
124146368184
1320047b5614
141055a2523a
15843dc529a
hex4f17ae0f4

21231231220 has 96 divisors (see below), whose sum is σ = 46286132256. Its totient is φ = 8174131200.

The previous prime is 21231231211. The next prime is 21231231221. The reversal of 21231231220 is 2213213212.

It can be written as a sum of positive squares in 16 ways, for example, as 2528480656 + 18702750564 = 50284^2 + 136758^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231231221) 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 31 ways as a sum of consecutive naturals, for example, 39244150 + ... + 39244690.

It is an arithmetic number, because the mean of its divisors is an integer number (482147211).

Almost surely, 221231231220 is an apocalyptic number.

21231231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143066128).

21231231220 is an abundant number, since it is smaller than the sum of its proper divisors (25054901036).

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

21231231220 is a wasteful number, since it uses less digits than its factorization.

21231231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21231231220 its reverse (2213213212), we get a palindrome (23444444432).

The spelling of 21231231220 in words is "twenty-one billion, two hundred thirty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 181 185 293 362 370 541 586 724 740 905 1082 1172 1465 1810 2164 2705 2930 3620 5410 5860 6697 10820 10841 13394 20017 21682 26788 33485 40034 43364 53033 54205 66970 80068 97921 100085 106066 108410 133940 158513 195842 200170 212132 216820 265165 317026 391684 400340 489605 530330 634052 792565 979210 1060660 1585130 1958420 1962221 3170260 3623077 3924442 5864981 7246154 7848884 9811105 11729962 14492308 18115385 19622210 23459924 28690853 29324905 36230770 39244420 57381706 58649810 72461540 114763412 117299620 143454265 286908530 573817060 1061561561 2123123122 4246246244 5307807805 10615615610 21231231220