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212103231600 = 243521313596361
BaseRepresentation
bin1100010110001001010…
…1100111100001110000
3202021110211122112222110
43011202111213201300
511433341411402400
6241234444205320
721216054502341
oct3054225474160
9667424575873
10212103231600
1181a52821247
1235134b39840
1317002989390
14a3a16d20c8
1557b5cd6e50
hex3162567870

212103231600 has 120 divisors (see below), whose sum is σ = 731701817392. Its totient is φ = 52210022400.

The previous prime is 212103231583. The next prime is 212103231617. The reversal of 212103231600 is 6132301212.

It is an interprime number because it is at equal distance from previous prime (212103231583) and next prime (212103231617).

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

It is a super-3 number, since 3×2121032316003 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6782581 + ... + 6813780.

Almost surely, 2212103231600 is an apocalyptic number.

212103231600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212103231600 is an abundant number, since it is smaller than the sum of its proper divisors (519598585792).

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

212103231600 is a wasteful number, since it uses less digits than its factorization.

212103231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13596395 (or 13596384 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212103231600 its reverse (6132301212), we get a palindrome (218235532812).

The spelling of 212103231600 in words is "two hundred twelve billion, one hundred three million, two hundred thirty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 13596361 27192722 40789083 54385444 67981805 81578166 108770888 135963610 163156332 176752693 203945415 217541776 271927220 326312664 339909025 353505386 407890830 530258079 543854440 652625328 679818050 707010772 815781660 883763465 1019727075 1060516158 1087708880 1359636100 1414021544 1631563320 1767526930 2039454150 2121032316 2651290395 2719272200 2828043088 3263126640 3535053860 4078908300 4242064632 4418817325 5302580790 5438544400 7070107720 8157816600 8484129264 8837634650 10605161580 13256451975 14140215440 16315633200 17675269300 21210323160 26512903950 35350538600 42420646320 53025807900 70701077200 106051615800 212103231600