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212233112300 = 2252111511277743
BaseRepresentation
bin1100010110101000010…
…1000100101011101100
3202021210220001011210202
43011222011010223230
511434123134043200
6241255404053032
721222222455306
oct3055205045354
9667726034722
10212233112300
118200a071570
1235170534178
1317023862771
14a3b4a60976
1557c23e01d5
hex316a144aec

212233112300 has 72 divisors (see below), whose sum is σ = 505741297152. Its totient is φ = 76664520000.

The previous prime is 212233112233. The next prime is 212233112303. The reversal of 212233112300 is 3211332212.

It is a super-2 number, since 2×2122331123002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212233112303) by changing a digit.

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, 472772 + ... + 804971.

Almost surely, 2212233112300 is an apocalyptic number.

212233112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233112300 is an abundant number, since it is smaller than the sum of its proper divisors (293508184852).

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

212233112300 is a wasteful number, since it uses less digits than its factorization.

212233112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277919 (or 1277912 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212233112300 its reverse (3211332212), we get a palindrome (215444444512).

The spelling of 212233112300 in words is "two hundred twelve billion, two hundred thirty-three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7550 8305 15100 16610 33220 41525 83050 166100 1277743 2555486 5110972 6388715 12777430 14055173 25554860 28110346 31943575 56220692 63887150 70275865 127774300 140551730 192939193 281103460 351379325 385878386 702758650 771756772 964695965 1405517300 1929391930 2122331123 3858783860 4244662246 4823479825 8489324492 9646959650 10611655615 19293919300 21223311230 42446622460 53058278075 106116556150 212233112300