Search a number
-
+
1221002010020 = 2251322812058817
BaseRepresentation
bin10001110001001001011…
…001000001110110100100
311022201121201200202120102
4101301021121001312210
5130001103003310040
62332530502323232
7154133365561652
oct21611131016644
94281551622512
101221002010020
11430907892071
1217877b129518
138b1a8754680
144314d921dd2
1521b638d3515
hex11c49641da4

1221002010020 has 48 divisors (see below), whose sum is σ = 2762554933488. Its totient is φ = 450633646080.

The previous prime is 1221002010013. The next prime is 1221002010029. The reversal of 1221002010020 is 200102001221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 228157164964 + 992844845056 = 477658^2 + 996416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1221002009983 and 1221002010010.

It is not an unprimeable number, because it can be changed into a prime (1221002010029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436349 + ... + 1622468.

It is an arithmetic number, because the mean of its divisors is an integer number (57553227781).

Almost surely, 21221002010020 is an apocalyptic number.

1221002010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221002010020 is an abundant number, since it is smaller than the sum of its proper divisors (1541552923468).

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

1221002010020 is a wasteful number, since it uses less digits than its factorization.

1221002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061120 (or 2061118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1221002010020 its reverse (200102001221), we get a palindrome (1421104011241).

The spelling of 1221002010020 in words is "one trillion, two hundred twenty-one billion, two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2281 4562 9124 11405 22810 29653 45620 59306 118612 148265 296530 593060 2058817 4117634 8235268 10294085 20588170 26764621 41176340 53529242 107058484 133823105 267646210 535292420 4696161577 9392323154 18784646308 23480807885 46961615770 61050100501 93923231540 122100201002 244200402004 305250502505 610501005010 1221002010020