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213231120102 = 2327112133729077
BaseRepresentation
bin1100011010010110010…
…0001010111011100110
3202101101102222020010200
43012211210022323212
511443144131320402
6241542414531330
721256031421120
oct3064544127346
9671342866120
10213231120102
1182481454600
12353aa806b46
1317152552c20
14a46b410210
15582ed2b21c
hex31a590aee6

213231120102 has 288 divisors, whose sum is σ = 641922206016. Its totient is φ = 49740894720.

The previous prime is 213231120101. The next prime is 213231120131. The reversal of 213231120102 is 201021132312.

213231120102 is a `hidden beast` number, since 213 + 231 + 120 + 102 = 666.

213231120102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213231120101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7318788 + ... + 7347864.

Almost surely, 2213231120102 is an apocalyptic number.

213231120102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213231120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320961103008).

213231120102 is an abundant number, since it is smaller than the sum of its proper divisors (428691085914).

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

213231120102 is a wasteful number, since it uses less digits than its factorization.

213231120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29164 (or 29150 counting only the distinct ones).

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

Adding to 213231120102 its reverse (201021132312), we get a palindrome (414252252414).

It can be divided in two parts, 213231 and 120102, that added together give a palindrome (333333).

The spelling of 213231120102 in words is "two hundred thirteen billion, two hundred thirty-one million, one hundred twenty thousand, one hundred two".