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213243021200 = 24521194151503
BaseRepresentation
bin1100011010011001000…
…1100100011110010000
3202101102021100212101002
43012212101210132100
511443210203134300
6241543522001132
721256234526156
oct3064621443620
9671367325332
10213243021200
1182488143020
12353b27a61a8
1317154b5bbb1
14a46cc2b3d6
155830dcc5d5
hex31a6464790

213243021200 has 120 divisors (see below), whose sum is σ = 559495368576. Its totient is φ = 77459008000.

The previous prime is 213243021181. The next prime is 213243021209. The reversal of 213243021200 is 2120342312.

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

It is not an unprimeable number, because it can be changed into a prime (213243021209) 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, 4114649 + ... + 4166151.

Almost surely, 2213243021200 is an apocalyptic number.

213243021200 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 213243021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279747684288).

213243021200 is an abundant number, since it is smaller than the sum of its proper divisors (346252347376).

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

213243021200 is a wasteful number, since it uses less digits than its factorization.

213243021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52473 (or 52462 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213243021200 its reverse (2120342312), we get a palindrome (215363363512).

The spelling of 213243021200 in words is "two hundred thirteen billion, two hundred forty-three million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 941 1100 1882 2200 3764 4400 4705 7528 9410 10351 15056 18820 20702 23525 37640 41404 47050 51503 51755 75280 82808 94100 103006 103510 165616 188200 206012 207020 257515 258775 376400 412024 414040 515030 517550 566533 824048 828080 1030060 1035100 1133066 1287575 2060120 2070200 2266132 2575150 2832665 4120240 4140400 4532264 5150300 5665330 9064528 10300600 11330660 14163325 20601200 22661320 28326650 45322640 48464323 56653300 96928646 113306600 193857292 226613200 242321615 387714584 484643230 533107553 775429168 969286460 1066215106 1211608075 1938572920 2132430212 2423216150 2665537765 3877145840 4264860424 4846432300 5331075530 8529720848 9692864600 10662151060 13327688825 19385729200 21324302120 26655377650 42648604240 53310755300 106621510600 213243021200