Search a number
-
+
21022111202000 = 245381011297501
BaseRepresentation
bin1001100011110100101110…
…11110000111101011010000
32202102200202002000101002012
410301322113132013223100
510223411240431431000
6112413231412242052
74266540340625456
oct461722736075320
982380662011065
1021022111202000
116775477801297
122436286610328
13b964b8467a4c
145296931109d6
15266c77894735
hex131e97787ad0

21022111202000 has 80 divisors (see below), whose sum is σ = 50837778782544. Its totient is φ = 8407800000000.

The previous prime is 21022111201961. The next prime is 21022111202039. The reversal of 21022111202000 is 20211122012.

It is an interprime number because it is at equal distance from previous prime (21022111201961) and next prime (21022111202039).

It can be written as a sum of positive squares in 8 ways, for example, as 3453338355856 + 17568772846144 = 1858316^2 + 4191512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 15553250 + ... + 16850750.

Almost surely, 221022111202000 is an apocalyptic number.

21022111202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022111202000 is an abundant number, since it is smaller than the sum of its proper divisors (29815667580544).

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

21022111202000 is a wasteful number, since it uses less digits than its factorization.

21022111202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305625 (or 1305609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21022111202000 its reverse (20211122012), we get a palindrome (21042322324012).

The spelling of 21022111202000 in words is "twenty-one trillion, twenty-two billion, one hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 8101 16202 32404 40505 64808 81010 129616 162020 202525 324040 405050 648080 810100 1012625 1297501 1620200 2025250 2595002 3240400 4050500 5190004 6487505 8101000 10380008 12975010 16202000 20760016 25950020 32437525 51900040 64875050 103800080 129750100 162187625 259500200 324375250 519000400 648750500 1297501000 2595002000 10511055601 21022111202 42044222404 52555278005 84088444808 105110556010 168176889616 210221112020 262776390025 420442224040 525552780050 840884448080 1051105560100 1313881950125 2102211120200 2627763900250 4204422240400 5255527800500 10511055601000 21022111202000