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213013332020 = 22567049158849
BaseRepresentation
bin1100011001100010010…
…1011000000000110100
3202100211021011110001102
43012120211120000310
511442222403111040
6241505034545232
721250445306336
oct3063045300064
9670737143042
10213013332020
118237a522155
1235349898218
13171193ab238
14a44a51b456
15581ab5b515
hex3198958034

213013332020 has 24 divisors (see below), whose sum is σ = 447337485000. Its totient is φ = 85203525632.

The previous prime is 213013331941. The next prime is 213013332041. The reversal of 213013332020 is 20233310312.

It can be written as a sum of positive squares in 4 ways, for example, as 1740725284 + 211272606736 = 41722^2 + 459644^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213013331983 and 213013332001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261556 + ... + 1420404.

It is an arithmetic number, because the mean of its divisors is an integer number (18639061875).

Almost surely, 2213013332020 is an apocalyptic number.

213013332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013332020 is an abundant number, since it is smaller than the sum of its proper divisors (234324152980).

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

213013332020 is a wasteful number, since it uses less digits than its factorization.

213013332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225907 (or 225905 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213013332020 its reverse (20233310312), we get a palindrome (233246642332).

The spelling of 213013332020 in words is "two hundred thirteen billion, thirteen million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 67049 134098 158849 268196 317698 335245 635396 670490 794245 1340980 1588490 3176980 10650666601 21301333202 42602666404 53253333005 106506666010 213013332020