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212521042032 = 24313340578593
BaseRepresentation
bin1100010111101100111…
…1011100000001110000
3202022112221211112010220
43011323033130001300
511440220341321112
6241344131253040
721232320023505
oct3057317340160
9668487745126
10212521042032
1182147651422
1235230a4a180
131706b3c55a0
14a400db14ac
1557dc81798c
hex317b3dc070

212521042032 has 40 divisors (see below), whose sum is σ = 591244439184. Its totient is φ = 65391089664.

The previous prime is 212521042031. The next prime is 212521042037. The reversal of 212521042032 is 230240125212.

212521042032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2125210420322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 212521041993 and 212521042011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212521042031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170288673 + ... + 170289920.

Almost surely, 2212521042032 is an apocalyptic number.

It is an amenable number.

212521042032 is an abundant number, since it is smaller than the sum of its proper divisors (378723397152).

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

212521042032 is a wasteful number, since it uses less digits than its factorization.

212521042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340578617 (or 340578611 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 212521042032 its reverse (230240125212), we get a palindrome (442761167244).

The spelling of 212521042032 in words is "two hundred twelve billion, five hundred twenty-one million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 340578593 681157186 1021735779 1362314372 2043471558 2724628744 4086943116 4427521709 5449257488 8173886232 8855043418 13282565127 16347772464 17710086836 26565130254 35420173672 53130260508 70840347344 106260521016 212521042032