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212003100 = 223252235559
BaseRepresentation
bin11001010001011…
…10100100011100
3112202220212120200
430220232210130
5413233044400
633011543500
75152665561
oct1450564434
9482825520
10212003100
11a9741081
125abbab90
1334bca82a
1420228868
151392ab00
hexca2e91c

212003100 has 54 divisors (see below), whose sum is σ = 664514760. Its totient is φ = 56533920.

The previous prime is 212003093. The next prime is 212003101. The reversal of 212003100 is 1300212.

It is a happy number.

It is a super-2 number, since 2×2120031002 = 89890628819220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212003101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 116880 + ... + 118679.

Almost surely, 2212003100 is an apocalyptic number.

212003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003100 is an abundant number, since it is smaller than the sum of its proper divisors (452511660).

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

212003100 is a wasteful number, since it uses less digits than its factorization.

212003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235579 (or 235569 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 212003100 is about 14560.3262326089. The cubic root of 212003100 is about 596.2761021233.

Adding to 212003100 its reverse (1300212), we get a palindrome (213303312).

The spelling of 212003100 in words is "two hundred twelve million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 235559 471118 706677 942236 1177795 1413354 2120031 2355590 2826708 3533385 4240062 4711180 5888975 7066770 8480124 10600155 11777950 14133540 17666925 21200310 23555900 35333850 42400620 53000775 70667700 106001550 212003100