Search a number
-
+
213212130130000 = 2454113263717427
BaseRepresentation
bin110000011110101001010001…
…010001110011100001010000
31000221220212202221101201111101
4300132221101101303201100
5210421231420303130000
62033244144514554144
762624032226411551
oct6036512121634120
91027825687351441
10213212130130000
1161a32836036471
121bab5b32b98954
1391c7a82360981
143a91744b40328
15199b20ba72e6a
hexc1ea51473850

213212130130000 has 200 divisors, whose sum is σ = 522756965573568. Its totient is φ = 84208594176000.

The previous prime is 213212130129991. The next prime is 213212130130039. The reversal of 213212130130000 is 31031212312.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 213212130130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296831287 + ... + 297548713.

Almost surely, 2213212130130000 is an apocalyptic number.

213212130130000 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 213212130130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261378482786784).

213212130130000 is an abundant number, since it is smaller than the sum of its proper divisors (309544835443568).

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

213212130130000 is a wasteful number, since it uses less digits than its factorization.

213212130130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717831 (or 717810 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213212130130000 its reverse (31031212312), we get a palindrome (213243161342312).

The spelling of 213212130130000 in words is "two hundred thirteen trillion, two hundred twelve billion, one hundred thirty million, one hundred thirty thousand".