Search a number
-
+
212666103435 = 3531496792077
BaseRepresentation
bin1100011000001111100…
…0110011011010001011
3202022221001210101222110
43012003320303122023
511441020010302220
6241410352353403
721236031024162
oct3060370633213
9668831711873
10212666103435
1182211520185
1235271545863
1317092485636
14a4163723d9
1557ea41dbe0
hex3183e3368b

212666103435 has 32 divisors (see below), whose sum is σ = 351316611072. Its totient is φ = 109739859840.

The previous prime is 212666103427. The next prime is 212666103451. The reversal of 212666103435 is 534301666212.

212666103435 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 212666103435 - 23 = 212666103427 is a prime.

It is a super-2 number, since 2×2126661034352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212666103393 and 212666103402.

It is an unprimeable number.

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, 2263617 + ... + 2355693.

It is an arithmetic number, because the mean of its divisors is an integer number (10978644096).

Almost surely, 2212666103435 is an apocalyptic number.

212666103435 is a deficient number, since it is larger than the sum of its proper divisors (138650507637).

212666103435 is a wasteful number, since it uses less digits than its factorization.

212666103435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97083.

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 212666103435 its reverse (534301666212), we get a palindrome (746967769647).

The spelling of 212666103435 in words is "two hundred twelve billion, six hundred sixty-six million, one hundred three thousand, four hundred thirty-five".

Divisors: 1 3 5 15 31 93 155 465 4967 14901 24835 74505 92077 153977 276231 460385 461931 769885 1381155 2309655 2854387 8563161 14271935 42815805 457346459 1372039377 2286732295 6860196885 14177740229 42533220687 70888701145 212666103435