Search a number
-
+
212301312300 = 2232527112278501
BaseRepresentation
bin1100010110111000100…
…1001111000100101100
3202021222122101002121200
43011232021033010230
511434243113443200
6241310241525500
721224011244160
oct3055611170454
9667878332550
10212301312300
1182044613200
123518b343890
1317034a20bac
14a3bdb34ca0
1557c83b2800
hex316e24f12c

212301312300 has 324 divisors, whose sum is σ = 835936007088. Its totient is φ = 44114400000.

The previous prime is 212301312277. The next prime is 212301312317. The reversal of 212301312300 is 3213103212.

212301312300 is a `hidden beast` number, since 2 + 1 + 230 + 131 + 2 + 300 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 623050 + ... + 901550.

Almost surely, 2212301312300 is an apocalyptic number.

212301312300 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 212301312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417968003544).

212301312300 is an abundant number, since it is smaller than the sum of its proper divisors (623634694788).

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

212301312300 is a wasteful number, since it uses less digits than its factorization.

212301312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278550 (or 278529 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212301312300 its reverse (3213103212), we get a palindrome (215514415512).

The spelling of 212301312300 in words is "two hundred twelve billion, three hundred one million, three hundred twelve thousand, three hundred".