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212313431522500 = 225471149111172011
BaseRepresentation
bin110000010001100100010010…
…101010101011110011000100
31000211201222002002102020011021
4300101210102222223303010
5210312020401432210000
62031315235520520524
762502065520321340
oct6021442252536304
91024658062366137
10212313431522500
1161716691105070
121b98b922780144
1391610bc3a95c9
143a6004c51c620
151982b5d90e11a
hexc11912aabcc4

212313431522500 has 480 divisors, whose sum is σ = 580838225071104. Its totient is φ = 65948904000000.

The previous prime is 212313431522473. The next prime is 212313431522503. The reversal of 212313431522500 is 5225134313212.

It is a super-3 number, since 3×2123134315225003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212313431522503) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105576046495 + ... + 105576048505.

Almost surely, 2212313431522500 is an apocalyptic number.

212313431522500 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 212313431522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290419112535552).

212313431522500 is an abundant number, since it is smaller than the sum of its proper divisors (368524793548604).

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

212313431522500 is a wasteful number, since it uses less digits than its factorization.

212313431522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 212313431522500 its reverse (5225134313212), we get a palindrome (217538565835712).

The spelling of 212313431522500 in words is "two hundred twelve trillion, three hundred thirteen billion, four hundred thirty-one million, five hundred twenty-two thousand, five hundred".