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211020232011300 = 2232521576961214541
BaseRepresentation
bin101111111110101111111001…
…111110000010111000100100
31000200011100002210101101210200
4233332233321332002320210
5210124323413343330200
62024445204543150500
762306465031665625
oct5776577176027044
91020140083341720
10211020232011300
11612681a5758858
121b8011748a5430
13909917917244a
143a176101d7a4c
15195e1c1a43800
hexbfebf9f82e24

211020232011300 has 216 divisors, whose sum is σ = 665742859308072. Its totient is φ = 55905348096000.

The previous prime is 211020232011269. The next prime is 211020232011307. The reversal of 211020232011300 is 3110232020112.

211020232011300 is a `hidden beast` number, since 2 + 1 + 10 + 20 + 2 + 320 + 11 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27761686572096 + 183258545439204 = 5268936^2 + 13537302^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211020232011307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 983482030 + ... + 983696570.

It is an arithmetic number, because the mean of its divisors is an integer number (3082142867167).

Almost surely, 2211020232011300 is an apocalyptic number.

211020232011300 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 211020232011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332871429654036).

211020232011300 is an abundant number, since it is smaller than the sum of its proper divisors (454722627296772).

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

211020232011300 is a wasteful number, since it uses less digits than its factorization.

211020232011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221679 (or 221669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211020232011300 its reverse (3110232020112), we get a palindrome (214130464031412).

The spelling of 211020232011300 in words is "two hundred eleven trillion, twenty billion, two hundred thirty-two million, eleven thousand, three hundred".