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211014699000 = 23353719152609
BaseRepresentation
bin1100010010000101110…
…1001100011111111000
3202011122222101100222020
43010201131030133320
511424124230332000
6240534441154440
721150066230040
oct3044135143770
9664588340866
10211014699000
1181544329626
1234a9048ba20
1316b8b2c2151
14a2dacda720
155750468ba0
hex312174c7f8

211014699000 has 256 divisors, whose sum is σ = 756371865600. Its totient is φ = 47978496000.

The previous prime is 211014698957. The next prime is 211014699011. The reversal of 211014699000 is 996410112.

211014699000 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3984696 + ... + 4037304.

It is an arithmetic number, because the mean of its divisors is an integer number (2954577600).

Almost surely, 2211014699000 is an apocalyptic number.

211014699000 is a gapful number since it is divisible by the number (20) 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 211014699000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378185932800).

211014699000 is an abundant number, since it is smaller than the sum of its proper divisors (545357166600).

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

211014699000 is a wasteful number, since it uses less digits than its factorization.

211014699000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52831 (or 52817 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 211014699000 in words is "two hundred eleven billion, fourteen million, six hundred ninety-nine thousand".