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212013123732 = 2234857763549
BaseRepresentation
bin1100010101110011110…
…1111000100010010100
3202021020120002121020000
43011130331320202110
511433200324424412
6241221505011300
721213611550234
oct3053475704224
9667216077200
10212013123732
1181a06976933
123510a923b30
1316cba0ca307
14a393757cc4
1557ace384dc
hex315cf78894

212013123732 has 60 divisors (see below), whose sum is σ = 554891637300. Its totient is φ = 70588485504.

The previous prime is 212013123731. The next prime is 212013123787. The reversal of 212013123732 is 237321310212.

212013123732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179340392196 + 32672731536 = 423486^2 + 180756^2 .

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 = 212013123696 and 212013123705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013123731) 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 19 ways as a sum of consecutive naturals, for example, 104107 + ... + 659442.

It is an arithmetic number, because the mean of its divisors is an integer number (9248193955).

Almost surely, 2212013123732 is an apocalyptic number.

It is an amenable number.

212013123732 is an abundant number, since it is smaller than the sum of its proper divisors (342878513568).

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

212013123732 is a wasteful number, since it uses less digits than its factorization.

212013123732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764422 (or 764411 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 212013123732 its reverse (237321310212), we get a palindrome (449334433944).

The spelling of 212013123732 in words is "two hundred twelve billion, thirteen million, one hundred twenty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 857 1714 2571 3428 5142 7713 10284 15426 23139 30852 46278 69417 92556 138834 277668 763549 1527098 2290647 3054196 4581294 6871941 9162588 13743882 20615823 27487764 41231646 61847469 82463292 123694938 247389876 654361493 1308722986 1963084479 2617445972 3926168958 5889253437 7852337916 11778506874 17667760311 23557013748 35335520622 53003280933 70671041244 106006561866 212013123732