Search a number
-
+
20032100200 = 2352756925147
BaseRepresentation
bin10010101010000000…
…011001011101101000
31220201001221010110001
4102222000121131220
5312011204201300
613111433232344
71306262020330
oct225200313550
956631833401
1020032100200
11854a664412
123a708626b4
131b73236838
14d806800c0
157c39ac16a
hex4aa019768

20032100200 has 96 divisors (see below), whose sum is σ = 53323819200. Its totient is φ = 6855805440.

The previous prime is 20032100191. The next prime is 20032100203. The reversal of 20032100200 is 200123002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20032100203) 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, 784027 + ... + 809173.

It is an arithmetic number, because the mean of its divisors is an integer number (555456450).

Almost surely, 220032100200 is an apocalyptic number.

20032100200 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 20032100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26661909600).

20032100200 is an abundant number, since it is smaller than the sum of its proper divisors (33291719000).

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

20032100200 is a wasteful number, since it uses less digits than its factorization.

20032100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25739 (or 25730 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20032100200 its reverse (200123002), we get a palindrome (20232223202).

The spelling of 20032100200 in words is "twenty billion, thirty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 569 700 1138 1400 2276 2845 3983 4552 5690 7966 11380 14225 15932 19915 22760 25147 28450 31864 39830 50294 56900 79660 99575 100588 113800 125735 159320 176029 199150 201176 251470 352058 398300 502940 628675 704116 796600 880145 1005880 1257350 1408232 1760290 2514700 3520580 4400725 5029400 7041160 8801450 14308643 17602900 28617286 35205800 57234572 71543215 100160501 114469144 143086430 200321002 286172860 357716075 400642004 500802505 572345720 715432150 801284008 1001605010 1430864300 2003210020 2504012525 2861728600 4006420040 5008025050 10016050100 20032100200