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213111121200 = 24352199346979
BaseRepresentation
bin1100011001111001101…
…0011010010100110000
3202101002002011122120220
43012132122122110300
511442422421334300
6241522450533040
721253043433105
oct3063632322460
9671062148526
10213111121200
118241a74365a
1235376597180
1317133729663
14a4594d4aac
155824525da0
hex319e69a530

213111121200 has 120 divisors (see below), whose sum is σ = 718595822400. Its totient is φ = 53838593280.

The previous prime is 213111121163. The next prime is 213111121211. The reversal of 213111121200 is 2121111312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213111121200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4650690 + ... + 4696289.

It is an arithmetic number, because the mean of its divisors is an integer number (5988298520).

Almost surely, 2213111121200 is an apocalyptic number.

213111121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213111121200 is an abundant number, since it is smaller than the sum of its proper divisors (505484701200).

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

213111121200 is a wasteful number, since it uses less digits than its factorization.

213111121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347019 (or 9347008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213111121200 its reverse (2121111312), we get a palindrome (215232232512).

The spelling of 213111121200 in words is "two hundred thirteen billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 9346979 18693958 28040937 37387916 46734895 56081874 74775832 93469790 112163748 140204685 149551664 177592601 186939580 224327496 233674475 280409370 355185202 373879160 448654992 467348950 532777803 560818740 701023425 710370404 747758320 887963005 934697900 1065555606 1121637480 1402046850 1420740808 1775926010 1869395800 2131111212 2243274960 2663889015 2804093700 2841481616 3551852020 3738791600 4262222424 4439815025 5327778030 5608187400 7103704040 8524444848 8879630050 10655556060 11216374800 13319445075 14207408080 17759260100 21311112120 26638890150 35518520200 42622224240 53277780300 71037040400 106555560600 213111121200