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212000112 = 2433490741
BaseRepresentation
bin11001010001011…
…01110101110000
3112202220201111000
430220231311300
5413233000422
633011522000
75152654062
oct1450556560
9482821430
10212000112
11a9739905
125abb9300
1334bc936c
1420227732
1513929cac
hexca2dd70

212000112 has 40 divisors (see below), whose sum is σ = 608520080. Its totient is φ = 70666560.

The previous prime is 212000101. The next prime is 212000137. The reversal of 212000112 is 211000212.

212000112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212000094 and 212000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244939 + ... + 245802.

It is an arithmetic number, because the mean of its divisors is an integer number (15213002).

Almost surely, 2212000112 is an apocalyptic number.

It is an amenable number.

212000112 is an abundant number, since it is smaller than the sum of its proper divisors (396519968).

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

212000112 is a wasteful number, since it uses less digits than its factorization.

212000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490758 (or 490746 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212000112 is about 14560.2236246563. The cubic root of 212000112 is about 596.2733007784.

Adding to 212000112 its reverse (211000212), we get a palindrome (423000324).

The spelling of 212000112 in words is "two hundred twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 490741 981482 1472223 1962964 2944446 3925928 4416669 5888892 7851856 8833338 11777784 13250007 17666676 23555568 26500014 35333352 53000028 70666704 106000056 212000112