Search a number
-
+
21014402101220 = 22511569167873479
BaseRepresentation
bin1001100011100110010111…
…11110001110111111100100
32202101221211210222110220002
410301303023332032333210
510223244443414214340
6112405514423400432
74266145321432133
oct461631376167744
982357753873802
1021014402101220
116772181161820
1224348948b3118
13b9585a287258
1452916132b91a
15266975bab715
hex131ccbf8efe4

21014402101220 has 48 divisors (see below), whose sum is σ = 48226693334400. Its totient is φ = 7628170840320.

The previous prime is 21014402101129. The next prime is 21014402101243. The reversal of 21014402101220 is 2210120441012.

It is a super-2 number, since 2×210144021012202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21014402101192 and 21014402101201.

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, 83811560 + ... + 84061919.

It is an arithmetic number, because the mean of its divisors is an integer number (1004722777800).

Almost surely, 221014402101220 is an apocalyptic number.

21014402101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21014402101220 is an abundant number, since it is smaller than the sum of its proper divisors (27212291233180).

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

21014402101220 is a wasteful number, since it uses less digits than its factorization.

21014402101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167874068 (or 167874066 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21014402101220 its reverse (2210120441012), we get a palindrome (23224522542232).

The spelling of 21014402101220 in words is "twenty-one trillion, fourteen billion, four hundred two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 569 1138 2276 2845 5690 6259 11380 12518 25036 31295 62590 125180 167873479 335746958 671493916 839367395 1678734790 1846608269 3357469580 3693216538 7386433076 9233041345 18466082690 36932165380 95520009551 191040019102 382080038204 477600047755 955200095510 1050720105061 1910400191020 2101440210122 4202880420244 5253600525305 10507201050610 21014402101220