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211010023000 = 23537210341809
BaseRepresentation
bin1100010010000100101…
…1010110111001011000
3202011122122120210201001
43010201023112321120
511424122031214000
6240534153034344
721150011413300
oct3044113267130
9664578523631
10211010023000
1181541725467
1234a8a9b59b4
1316b8a34599a
14a2da440600
15574ed4346a
hex31212d6e58

211010023000 has 192 divisors, whose sum is σ = 579968251200. Its totient is φ = 71642188800.

The previous prime is 211010022989. The next prime is 211010023009. The reversal of 211010023000 is 320010112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010023009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5026096 + ... + 5067904.

It is an arithmetic number, because the mean of its divisors is an integer number (3020667975).

Almost surely, 2211010023000 is an apocalyptic number.

211010023000 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 211010023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289984125600).

211010023000 is an abundant number, since it is smaller than the sum of its proper divisors (368958228200).

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

211010023000 is a wasteful number, since it uses less digits than its factorization.

211010023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41947 (or 41926 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 211010023000 its reverse (320010112), we get a palindrome (211330033112).

The spelling of 211010023000 in words is "two hundred eleven billion, ten million, twenty-three thousand".