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21221002000201 = 731217238864961
BaseRepresentation
bin1001101001100111001100…
…10010010011011101001001
32210010201010010010202202111
410310303212102103131021
510240141103003001301
6113044443240302321
74320111132543133
oct464634622233511
983121103122674
1021221002000201
11684185a442793
1224689327719a1
13bac193a33aa3
1453515db7a053
1526c018766551
hex134ce6493749

21221002000201 has 8 divisors (see below), whose sum is σ = 21529376754984. Its totient is φ = 20913104977920.

The previous prime is 21221002000193. The next prime is 21221002000213. The reversal of 21221002000201 is 10200020012212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1524980479801 + 19696021520400 = 1234901^2 + 4438020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21221002000201 - 23 = 21221002000193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21221002000271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119343640 + ... + 119521321.

It is an arithmetic number, because the mean of its divisors is an integer number (2691172094373).

Almost surely, 221221002000201 is an apocalyptic number.

It is an amenable number.

21221002000201 is a deficient number, since it is larger than the sum of its proper divisors (308374754783).

21221002000201 is a wasteful number, since it uses less digits than its factorization.

21221002000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238866251.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21221002000201 its reverse (10200020012212), we get a palindrome (31421022012413).

The spelling of 21221002000201 in words is "twenty-one trillion, two hundred twenty-one billion, two million, two hundred one", and thus it is an aban number.

Divisors: 1 73 1217 88841 238864961 17437142153 290698657537 21221002000201