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213131121200 = 2452737299011
BaseRepresentation
bin1100011001111110011…
…0101101001000110000
3202101010110210202102122
43012133212231020300
511442443031334300
6241524443333412
721253405432124
oct3063746551060
9671113722378
10213131121200
118242aa63988
1235381221268
131713790ca8a
14a45c01d584
155826176c85
hex319f9ad230

213131121200 has 60 divisors (see below), whose sum is σ = 519061939368. Its totient is φ = 84084595200.

The previous prime is 213131121199. The next prime is 213131121239. The reversal of 213131121200 is 2121131312.

213131121200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3620306 + ... + 3678705.

Almost surely, 2213131121200 is an apocalyptic number.

213131121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131121200 is an abundant number, since it is smaller than the sum of its proper divisors (305930818168).

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

213131121200 is a wasteful number, since it uses less digits than its factorization.

213131121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299102 (or 7299091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213131121200 its reverse (2121131312), we get a palindrome (215252252512).

The spelling of 213131121200 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 7299011 14598022 29196044 36495055 58392088 72990110 116784176 145980220 182475275 291960440 364950550 532827803 583920880 729901100 1065655606 1459802200 2131311212 2664139015 2919604400 4262622424 5328278030 8525244848 10656556060 13320695075 21313112120 26641390150 42626224240 53282780300 106565560600 213131121200