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212133300000 = 25355707111
BaseRepresentation
bin1100010110010000100…
…0010100011100100000
3202021112221020012001220
43011210020110130200
511433422111100000
6241241440455040
721216601204326
oct3054410243440
9667487205056
10212133300000
1181a68799066
123514301a480
1317008c8652b
14a3a56bbd16
1557b87761a0
hex3164214720

212133300000 has 144 divisors (see below), whose sum is σ = 696018826944. Its totient is φ = 56568800000.

The previous prime is 212133299981. The next prime is 212133300023. The reversal of 212133300000 is 3331212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53556 + ... + 653555.

It is an arithmetic number, because the mean of its divisors is an integer number (4833464076).

Almost surely, 2212133300000 is an apocalyptic number.

212133300000 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 212133300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348009413472).

212133300000 is an abundant number, since it is smaller than the sum of its proper divisors (483885526944).

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

212133300000 is an frugal number, since it uses more digits than its factorization.

212133300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707149 (or 707121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 212133300000 its reverse (3331212), we get a palindrome (212136631212).

The spelling of 212133300000 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 707111 1414222 2121333 2828444 3535555 4242666 5656888 7071110 8485332 10606665 11313776 14142220 16970664 17677775 21213330 22627552 28284440 33941328 35355550 42426660 53033325 56568880 67882656 70711100 84853320 88388875 106066650 113137760 141422200 169706640 176777750 212133300 265166625 282844400 339413280 353555500 424266600 441944375 530333250 565688800 707111000 848533200 883888750 1060666500 1325833125 1414222000 1697066400 1767777500 2121333000 2209721875 2651666250 2828444000 3535555000 4242666000 4419443750 5303332500 6629165625 7071110000 8485332000 8838887500 10606665000 13258331250 14142220000 17677775000 21213330000 26516662500 35355550000 42426660000 53033325000 70711100000 106066650000 212133300000