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213111030000 = 24354111941829
BaseRepresentation
bin1100011001111001101…
…0000100000011110000
3202101002002000000111010
43012132122010003300
511442422410430000
6241522444550520
721253042603161
oct3063632040360
9671062000433
10213111030000
118241a691090
1235376552440
13171336c6cab
14a4594ad768
155824508d50
hex319e6840f0

213111030000 has 800 divisors, whose sum is σ = 810235641600. Its totient is φ = 47692800000.

The previous prime is 213111029941. The next prime is 213111030017. The reversal of 213111030000 is 30111312.

It is a super-2 number, since 2×2131110300002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 257069586 + ... + 257070414.

It is an arithmetic number, because the mean of its divisors is an integer number (1012794552).

Almost surely, 2213111030000 is an apocalyptic number.

213111030000 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 213111030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405117820800).

213111030000 is an abundant number, since it is smaller than the sum of its proper divisors (597124611600).

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

213111030000 is a wasteful number, since it uses less digits than its factorization.

213111030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 213111030000 its reverse (30111312), we get a palindrome (213141141312).

The spelling of 213111030000 in words is "two hundred thirteen billion, one hundred eleven million, thirty thousand".