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211010497920 = 27325191928093
BaseRepresentation
bin1100010010000100110…
…1001010110110000000
3202011122200110221011200
43010201031022312000
511424122141413140
6240534211141200
721150015432015
oct3044115126600
9664580427150
10211010497920
1181541a1a262
1234a8aba4800
1316b8a480bc1
14a2da52570c
15574edd9030
hex312134ad80

211010497920 has 192 divisors, whose sum is σ = 766995793200. Its totient is φ = 53307887616.

The previous prime is 211010497913. The next prime is 211010497921. The reversal of 211010497920 is 29794010112.

211010497920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010497921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854607 + ... + 1073486.

Almost surely, 2211010497920 is an apocalyptic number.

211010497920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010497920 is an abundant number, since it is smaller than the sum of its proper divisors (555985295280).

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

211010497920 is a wasteful number, since it uses less digits than its factorization.

211010497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928137 (or 1928122 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 211010497920 in words is "two hundred eleven billion, ten million, four hundred ninety-seven thousand, nine hundred twenty".