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212103331200 = 2732527364699
BaseRepresentation
bin1100010110001001010…
…1111111110110000000
3202021110211211121121100
43011202111333312000
511433341423044300
6241234450254400
721216055365615
oct3054225776600
9667424747540
10212103331200
1181a5288a062
1235134b87400
13170029c2807
14a3a171a50c
1557b5d06700
hex316257fd80

212103331200 has 144 divisors (see below), whose sum is σ = 756833395500. Its totient is φ = 56560880640.

The previous prime is 212103331183. The next prime is 212103331207. The reversal of 212103331200 is 2133301212.

212103331200 is a `hidden beast` number, since 2 + 1 + 210 + 333 + 120 + 0 = 666.

212103331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2121033312002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212103331207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3653550 + ... + 3711149.

Almost surely, 2212103331200 is an apocalyptic number.

212103331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212103331200 is an abundant number, since it is smaller than the sum of its proper divisors (544730064300).

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

212103331200 is a wasteful number, since it uses less digits than its factorization.

212103331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364729 (or 7364709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212103331200 its reverse (2133301212), we get a palindrome (214236632412).

The spelling of 212103331200 in words is "two hundred twelve billion, one hundred three million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 7364699 14729398 22094097 29458796 36823495 44188194 58917592 66282291 73646990 88376388 110470485 117835184 132564582 147293980 176752776 184117475 220940970 235670368 265129164 294587960 331411455 353505552 368234950 441881940 471340736 530258328 552352425 589175920 662822910 707011104 736469900 883763880 942681472 1060516656 1104704850 1178351840 1325645820 1414022208 1472939800 1657057275 1767527760 2121033312 2209409700 2356703680 2651291640 2828044416 2945879600 3314114550 3535055520 4242066624 4418819400 4713407360 5302583280 5891759200 6628229100 7070111040 8484133248 8837638800 10605166560 11783518400 13256458200 14140222080 17675277600 21210333120 23567036800 26512916400 35350555200 42420666240 53025832800 70701110400 106051665600 212103331200