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12201030200021 = 1315729320402617
BaseRepresentation
bin1011000110001100011000…
…0100100010101011010101
31121012101222202212101001012
42301203012010202223111
53044400202212400041
641541024220542005
72366331621351065
oct261430604425325
947171882771035
1012201030200021
113984478516583
1214507843b1905
136a6724290c70
1430276682d3a5
1516259ba3e3eb
hexb18c6122ad5

12201030200021 has 16 divisors (see below), whose sum is σ = 13268393758704. Its totient is φ = 11152559568384.

The previous prime is 12201030199837. The next prime is 12201030200101. The reversal of 12201030200021 is 12000203010221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 594573619396 + 11606456580625 = 771086^2 + 3406825^2 .

It is not a de Polignac number, because 12201030200021 - 242 = 7802983688917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201030199969 and 12201030200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201030208021) 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 15 ways as a sum of consecutive naturals, for example, 9603296 + ... + 10799321.

It is an arithmetic number, because the mean of its divisors is an integer number (829274609919).

Almost surely, 212201030200021 is an apocalyptic number.

It is an amenable number.

12201030200021 is a deficient number, since it is larger than the sum of its proper divisors (1067363558683).

12201030200021 is a wasteful number, since it uses less digits than its factorization.

12201030200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20403080.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12201030200021 its reverse (12000203010221), we get a palindrome (24201233210242).

The spelling of 12201030200021 in words is "twelve trillion, two hundred one billion, thirty million, two hundred thousand, twenty-one".

Divisors: 1 13 157 293 2041 3809 46001 598013 20402617 265234021 3203210869 5977966781 41641741297 77713568153 938540784617 12201030200021