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213013144200 = 233521811961447
BaseRepresentation
bin1100011001100010010…
…0101010001010001000
3202100211020210220102010
43012120210222022020
511442222331103300
6241505030535520
721250443564633
oct3063044521210
9670736726363
10213013144200
118237a40402a
12353498075a0
13171193438bc
14a44a4acc1a
15581ab20a50
hex319892a288

213013144200 has 96 divisors (see below), whose sum is σ = 663989376960. Its totient is φ = 56489644800.

The previous prime is 213013144189. The next prime is 213013144207. The reversal of 213013144200 is 2441310312.

It is not an unprimeable number, because it can be changed into a prime (213013144207) 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, 872124 + ... + 1089323.

It is an arithmetic number, because the mean of its divisors is an integer number (6916556010).

Almost surely, 2213013144200 is an apocalyptic number.

213013144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013144200 is an abundant number, since it is smaller than the sum of its proper divisors (450976232760).

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

213013144200 is a wasteful number, since it uses less digits than its factorization.

213013144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961647 (or 1961638 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213013144200 its reverse (2441310312), we get a palindrome (215454454512).

The spelling of 213013144200 in words is "two hundred thirteen billion, thirteen million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 181 200 300 362 543 600 724 905 1086 1448 1810 2172 2715 3620 4344 4525 5430 7240 9050 10860 13575 18100 21720 27150 36200 54300 108600 1961447 3922894 5884341 7845788 9807235 11768682 15691576 19614470 23537364 29421705 39228940 47074728 49036175 58843410 78457880 98072350 117686820 147108525 196144700 235373640 294217050 355021907 392289400 588434100 710043814 1065065721 1176868200 1420087628 1775109535 2130131442 2840175256 3550219070 4260262884 5325328605 7100438140 8520525768 8875547675 10650657210 14200876280 17751095350 21301314420 26626643025 35502190700 42602628840 53253286050 71004381400 106506572100 213013144200