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212013032031 = 321011271836517
BaseRepresentation
bin1100010101110011110…
…1100010001001011111
3202021020112220221102200
43011130331202021133
511433200314011111
6241221503022543
721213611016003
oct3053475421137
9667215827380
10212013032031
1181a06913a49
123510a89aa53
1316cba097658
14a393732703
1557ace1b256
hex315cf6225f

212013032031 has 24 divisors (see below), whose sum is σ = 311708527104. Its totient is φ = 138840609600.

The previous prime is 212013032009. The next prime is 212013032051. The reversal of 212013032031 is 130230310212.

212013032031 is a `hidden beast` number, since 212 + 0 + 130 + 320 + 3 + 1 = 666.

It is not a de Polignac number, because 212013032031 - 27 = 212013031903 is a prime.

It is a super-2 number, since 2×2120130320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212013031995 and 212013032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013032051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802816 + ... + 1033701.

It is an arithmetic number, because the mean of its divisors is an integer number (12987855296).

Almost surely, 2212013032031 is an apocalyptic number.

212013032031 is a deficient number, since it is larger than the sum of its proper divisors (99695495073).

212013032031 is a wasteful number, since it uses less digits than its factorization.

212013032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836751 (or 1836748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212013032031 its reverse (130230310212), we get a palindrome (342243342243).

The spelling of 212013032031 in words is "two hundred twelve billion, thirteen million, thirty-two thousand, thirty-one".

Divisors: 1 3 9 101 127 303 381 909 1143 12827 38481 115443 1836517 5509551 16528653 185488217 233237659 556464651 699712977 1669393953 2099138931 23557003559 70671010677 212013032031