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211123934868 = 22374112232633
BaseRepresentation
bin1100010010011111110…
…1111001011010010100
3202011221120221010102010
43010213331321122110
511424340211403433
6240553342344220
721152563560000
oct3044775713224
9664846833363
10211123934868
118159aa59100
1234b00b8b070
1316ba7b1a762
14a30b613700
155759d44e63
hex3127f79694

211123934868 has 360 divisors, whose sum is σ = 659401291584. Its totient is φ = 52433230080.

The previous prime is 211123934851. The next prime is 211123934911. The reversal of 211123934868 is 868439321112.

211123934868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80182480 + ... + 80185112.

Almost surely, 2211123934868 is an apocalyptic number.

211123934868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211123934868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329700645792).

211123934868 is an abundant number, since it is smaller than the sum of its proper divisors (448277356716).

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

211123934868 is a wasteful number, since it uses less digits than its factorization.

211123934868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2679 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The spelling of 211123934868 in words is "two hundred eleven billion, one hundred twenty-three million, nine hundred thirty-four thousand, eight hundred sixty-eight".