Search a number
-
+
10021531401220 = 225618214370001
BaseRepresentation
bin1001000111010101000111…
…0100011011110000000100
31022111001022202100202121211
42101311101310123300010
52303143044014314340
633151454501421204
72053013614261633
oct221652164336004
938431282322554
1010021531401220
113214120240489
12115a2a670a804
13579045b9b111
1426908a96d51a
15125a3a35c5ea
hex91d51d1bc04

10021531401220 has 24 divisors (see below), whose sum is σ = 21390219485208. Its totient is φ = 3942897600000.

The previous prime is 10021531401209. The next prime is 10021531401241. The reversal of 10021531401220 is 2210413512001.

It can be written as a sum of positive squares in 4 ways, for example, as 151993938496 + 9869537462724 = 389864^2 + 3141582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10021531401191 and 10021531401200.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4107183781 + ... + 4107186220.

It is an arithmetic number, because the mean of its divisors is an integer number (891259145217).

Almost surely, 210021531401220 is an apocalyptic number.

10021531401220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021531401220 is an abundant number, since it is smaller than the sum of its proper divisors (11368688083988).

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

10021531401220 is a wasteful number, since it uses less digits than its factorization.

10021531401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214370071 (or 8214370069 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10021531401220 its reverse (2210413512001), we get a palindrome (12231944913221).

The spelling of 10021531401220 in words is "ten trillion, twenty-one billion, five hundred thirty-one million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 8214370001 16428740002 32857480004 41071850005 82143700010 164287400020 501076570061 1002153140122 2004306280244 2505382850305 5010765700610 10021531401220