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212120988 = 223127139187
BaseRepresentation
bin11001010010010…
…11010110011100
3112210010212021220
430221023112130
5413300332423
633014253340
75153666352
oct1451132634
9483125256
10212120988
11a9811702
125b057250
1334c3c3a1
14202597d2
15139509e3
hexca4b59c

212120988 has 24 divisors (see below), whose sum is σ = 498849792. Its totient is φ = 70149744.

The previous prime is 212120983. The next prime is 212121023. The reversal of 212120988 is 889021212.

212120988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2121209883 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68070 + ... + 71117.

It is an arithmetic number, because the mean of its divisors is an integer number (20785408).

Almost surely, 2212120988 is an apocalyptic number.

It is an amenable number.

212120988 is an abundant number, since it is smaller than the sum of its proper divisors (286728804).

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

212120988 is a wasteful number, since it uses less digits than its factorization.

212120988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139321 (or 139319 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 212120988 is about 14564.3739309316. The cubic root of 212120988 is about 596.3866048656.

The spelling of 212120988 in words is "two hundred twelve million, one hundred twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 139187 278374 417561 556748 835122 1670244 17676749 35353498 53030247 70706996 106060494 212120988