Search a number
-
+
1221320020 = 225316732927
BaseRepresentation
bin100100011001011…
…1101110101010100
310011010010111002211
41020302331311110
510000124220040
6321105043204
742160022524
oct11062756524
93133114084
101221320020
11577448898
122a1026504
1316604a68b
14b82bd684
157234c8ea
hex48cbdd54

1221320020 has 48 divisors (see below), whose sum is σ = 2652346368. Its totient is φ = 471905280.

The previous prime is 1221319999. The next prime is 1221320021. The reversal of 1221320020 is 200231221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221320021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415797 + ... + 418723.

It is an arithmetic number, because the mean of its divisors is an integer number (55257216).

Almost surely, 21221320020 is an apocalyptic number.

1221320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326173184).

1221320020 is an abundant number, since it is smaller than the sum of its proper divisors (1431026348).

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

1221320020 is a wasteful number, since it uses less digits than its factorization.

1221320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1221320020 is about 34947.3893159418. The cubic root of 1221320020 is about 1068.9149684588.

Adding to 1221320020 its reverse (200231221), we get a palindrome (1421551241).

The spelling of 1221320020 in words is "one billion, two hundred twenty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 673 1346 2692 2927 3365 5854 6730 11708 13460 14635 20863 29270 41726 58540 83452 90737 104315 181474 208630 362948 417260 453685 907370 1814740 1969871 3939742 7879484 9849355 19698710 39397420 61066001 122132002 244264004 305330005 610660010 1221320020