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212131131300 = 2232521154139607
BaseRepresentation
bin1100010110010000000…
…0000010111110100100
3202021112210011000011200
43011210000002332210
511433421032200200
6241241322202500
721216543602514
oct3054400027644
9667483130150
10212131131300
1181a67547750
1235142353430
13170086a738a
14a3a52b5844
1557b8498800
hex3164002fa4

212131131300 has 216 divisors, whose sum is σ = 726719028672. Its totient is φ = 51329376000.

The previous prime is 212131131299. The next prime is 212131131343. The reversal of 212131131300 is 3131131212.

212131131300 is a `hidden beast` number, since 2 + 1 + 21 + 311 + 31 + 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 71 ways as a sum of consecutive naturals, for example, 5336097 + ... + 5375703.

Almost surely, 2212131131300 is an apocalyptic number.

212131131300 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 212131131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363359514336).

212131131300 is an abundant number, since it is smaller than the sum of its proper divisors (514587897372).

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

212131131300 is a wasteful number, since it uses less digits than its factorization.

212131131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40179 (or 40169 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212131131300 its reverse (3131131212), we get a palindrome (215262262512).

The spelling of 212131131300 in words is "two hundred twelve billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred".