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213010320000 = 27354887543
BaseRepresentation
bin1100011001100001100…
…1111000101010000000
3202100211001111102100010
43012120121320222000
511442221120220000
6241504450224520
721250410563052
oct3063031705200
9670731442303
10213010320000
1182378855185
1235348885140
131711889528a
14a449d758d2
15581a763d50
hex3198678a80

213010320000 has 160 divisors (see below), whose sum is σ = 707035301280. Its totient is φ = 56802688000.

The previous prime is 213010319993. The next prime is 213010320001. The reversal of 213010320000 is 23010312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (213010320001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203772 + ... + 683771.

It is an arithmetic number, because the mean of its divisors is an integer number (4418970633).

Almost surely, 2213010320000 is an apocalyptic number.

213010320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213010320000 is an abundant number, since it is smaller than the sum of its proper divisors (494024981280).

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

213010320000 is an frugal number, since it uses more digits than its factorization.

213010320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887580 (or 887553 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 213010320000 its reverse (23010312), we get a palindrome (213033330312).

The spelling of 213010320000 in words is "two hundred thirteen billion, ten million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 887543 1775086 2662629 3550172 4437715 5325258 7100344 8875430 10650516 13313145 14200688 17750860 21301032 22188575 26626290 28401376 35501720 42602064 44377150 53252580 56802752 66565725 71003440 85204128 88754300 106505160 110942875 113605504 133131450 142006880 170408256 177508600 213010320 221885750 266262900 284013760 332828625 340816512 355017200 426020640 443771500 532525800 554714375 568027520 665657250 710034400 852041280 887543000 1065051600 1109428750 1331314500 1420068800 1664143125 1704082560 1775086000 2130103200 2218857500 2662629000 2840137600 3328286250 3550172000 4260206400 4437715000 5325258000 6656572500 7100344000 8520412800 8875430000 10650516000 13313145000 14200688000 17750860000 21301032000 26626290000 35501720000 42602064000 53252580000 71003440000 106505160000 213010320000