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213023301300 = 223552194391051
BaseRepresentation
bin1100011001100100101…
…1011001111010110100
3202100211221220221100000
43012121023121322310
511442232431120200
6241510032351300
721250626120315
oct3063113317264
9670757827300
10213023301300
1182385111227
12353510a5530
131711b48bb14
14a44b99460c
15581b97a300
hex31992d9eb4

213023301300 has 432 divisors, whose sum is σ = 731239308800. Its totient is φ = 53642736000.

The previous prime is 213023301289. The next prime is 213023301313. The reversal of 213023301300 is 3103320312.

213023301300 is a `hidden beast` number, since 2 + 1 + 30 + 2 + 330 + 1 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202685775 + ... + 202686825.

Almost surely, 2213023301300 is an apocalyptic number.

213023301300 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 213023301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365619654400).

213023301300 is an abundant number, since it is smaller than the sum of its proper divisors (518216007500).

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

213023301300 is a wasteful number, since it uses less digits than its factorization.

213023301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213023301300 its reverse (3103320312), we get a palindrome (216126621612).

The spelling of 213023301300 in words is "two hundred thirteen billion, twenty-three million, three hundred one thousand, three hundred".