Search a number
-
+
20132221020 = 22351933153353
BaseRepresentation
bin10010101111111110…
…010101000001011100
31220222001022210101120
4102233332111001130
5312212322033040
613125411210540
71311616024632
oct225776250134
956861283346
1020132221020
1185a112869a
123a9a2a6a50
131b8abc0322
14d8daa3352
157cc6877d0
hex4aff9505c

20132221020 has 96 divisors (see below), whose sum is σ = 59517454080. Its totient is φ = 5070574080.

The previous prime is 20132221019. The next prime is 20132221033. The reversal of 20132221020 is 2012223102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 350664 + ... + 404016.

It is an arithmetic number, because the mean of its divisors is an integer number (619973480).

Almost surely, 220132221020 is an apocalyptic number.

20132221020 is a gapful number since it is divisible by the number (20) 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 20132221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758727040).

20132221020 is an abundant number, since it is smaller than the sum of its proper divisors (39385233060).

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

20132221020 is a wasteful number, since it uses less digits than its factorization.

20132221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53715 (or 53713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20132221020 its reverse (2012223102), we get a palindrome (22144444122).

The spelling of 20132221020 in words is "twenty billion, one hundred thirty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 331 380 570 662 993 1140 1324 1655 1986 3310 3972 4965 6289 6620 9930 12578 18867 19860 25156 31445 37734 53353 62890 75468 94335 106706 125780 160059 188670 213412 266765 320118 377340 533530 640236 800295 1013707 1067060 1600590 2027414 3041121 3201180 4054828 5068535 6082242 10137070 12164484 15205605 17659843 20274140 30411210 35319686 52979529 60822420 70639372 88299215 105959058 176598430 211918116 264897645 335537017 353196860 529795290 671074034 1006611051 1059590580 1342148068 1677685085 2013222102 3355370170 4026444204 5033055255 6710740340 10066110510 20132221020