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20212455231 = 338322739733
BaseRepresentation
bin10010110100110000…
…011001011100111111
31221011122022010001000
4102310300121130333
5312343342031411
613141355021343
71313612014623
oct226460313477
957148263030
1020212455231
118632449861
123b0113a853
131ba17031a7
14d9a5cb183
157d4735956
hex4b4c1973f

20212455231 has 32 divisors (see below), whose sum is σ = 30439422720. Its totient is φ = 13253641632.

The previous prime is 20212455217. The next prime is 20212455247. The reversal of 20212455231 is 13255421202.

20212455231 is a `hidden beast` number, since 202 + 1 + 2 + 455 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 20212455231 - 217 = 20212324159 is a prime.

It is a super-2 number, since 2×202124552312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20212455195 and 20212455204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212454231) 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 31 ways as a sum of consecutive naturals, for example, 488841 + ... + 528573.

It is an arithmetic number, because the mean of its divisors is an integer number (951231960).

Almost surely, 220212455231 is an apocalyptic number.

20212455231 is a deficient number, since it is larger than the sum of its proper divisors (10226967489).

20212455231 is a wasteful number, since it uses less digits than its factorization.

20212455231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40052 (or 40046 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20212455231 its reverse (13255421202), we get a palindrome (33467876433).

The spelling of 20212455231 in words is "twenty billion, two hundred twelve million, four hundred fifty-five thousand, two hundred thirty-one".

Divisors: 1 3 9 27 83 227 249 681 747 2043 2241 6129 18841 39733 56523 119199 169569 357597 508707 1072791 3297839 9019391 9893517 27058173 29680551 81174519 89041653 243523557 748609453 2245828359 6737485077 20212455231