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212022131313 = 3793132858173
BaseRepresentation
bin1100010101110110000…
…0001111101001110001
3202021021012001020022010
43011131200033221301
511433210131200223
6241222430033133
721214051244346
oct3053540175161
9667235036263
10212022131313
1181a10a69413
12351119487a9
1316cbbc32245
14a394a207cd
1557adb17393
hex315d80fa71

212022131313 has 16 divisors (see below), whose sum is σ = 287189323520. Its totient is φ = 139112947584.

The previous prime is 212022131291. The next prime is 212022131329. The reversal of 212022131313 is 313131220212.

212022131313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212022131313 - 26 = 212022131249 is a prime.

It is a super-3 number, since 3×2120221313133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212022131313.

It is not an unprimeable number, because it can be changed into a prime (212022131813) 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 15 ways as a sum of consecutive naturals, for example, 1354906 + ... + 1503267.

It is an arithmetic number, because the mean of its divisors is an integer number (17949332720).

Almost surely, 2212022131313 is an apocalyptic number.

It is an amenable number.

212022131313 is a deficient number, since it is larger than the sum of its proper divisors (75167192207).

212022131313 is a wasteful number, since it uses less digits than its factorization.

212022131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858568.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212022131313 its reverse (313131220212), we get a palindrome (525153351525).

The spelling of 212022131313 in words is "two hundred twelve billion, twenty-two million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 79 237 313 939 24727 74181 2858173 8574519 225795667 677387001 894608149 2683824447 70674043771 212022131313