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213032020300 = 225211421460013
BaseRepresentation
bin1100011001100110110…
…0101010100101001100
3202100212120022220112221
43012121230222211030
511442242144122200
6241510543305124
721251063203201
oct3063154524514
9670776286487
10213032020300
118238a026a10
1235353bab1a4
13171202225a8
14a44cbc3ca8
15581c5ed91a
hex3199b2a94c

213032020300 has 72 divisors (see below), whose sum is σ = 505503864432. Its totient is φ = 77282016000.

The previous prime is 213032020291. The next prime is 213032020307. The reversal of 213032020300 is 3020230312.

It is a super-2 number, since 2×2130320203002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213032020307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233094 + ... + 693106.

It is an arithmetic number, because the mean of its divisors is an integer number (7020887006).

Almost surely, 2213032020300 is an apocalyptic number.

213032020300 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 213032020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252751932216).

213032020300 is an abundant number, since it is smaller than the sum of its proper divisors (292471844132).

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

213032020300 is a wasteful number, since it uses less digits than its factorization.

213032020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460459 (or 460452 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 213032020300 its reverse (3020230312), we get a palindrome (216052250612).

The spelling of 213032020300 in words is "two hundred thirteen billion, thirty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 421 550 842 1100 1684 2105 4210 4631 8420 9262 10525 18524 21050 23155 42100 46310 92620 115775 231550 460013 463100 920026 1840052 2300065 4600130 5060143 9200260 10120286 11500325 20240572 23000650 25300715 46001300 50601430 101202860 126503575 193665473 253007150 387330946 506014300 774661892 968327365 1936654730 2130320203 3873309460 4260640406 4841636825 8521280812 9683273650 10651601015 19366547300 21303202030 42606404060 53258005075 106516010150 213032020300