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213201030000 = 24354723371193
BaseRepresentation
bin1100011010001111000…
…1011000101101110000
3202101022100100111021110
43012203301120231300
511443113430430000
6241535421553320
721255214565640
oct3064361305560
9671270314243
10213201030000
1182466472452
12353a0715840
1317149248c2a
14a46741a520
15582c385850
hex31a3c58b70

213201030000 has 800 divisors, whose sum is σ = 843649145856. Its totient is φ = 45315072000.

The previous prime is 213201029971. The next prime is 213201030061. The reversal of 213201030000 is 30102312.

It is a happy number.

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, 178709404 + ... + 178710596.

Almost surely, 2213201030000 is an apocalyptic number.

213201030000 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 213201030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421824572928).

213201030000 is an abundant number, since it is smaller than the sum of its proper divisors (630448115856).

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

213201030000 is a wasteful number, since it uses less digits than its factorization.

213201030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 213201030000 its reverse (30102312), we get a palindrome (213231132312).

The spelling of 213201030000 in words is "two hundred thirteen billion, two hundred one million, thirty thousand".