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212023313021 = 1340214056077
BaseRepresentation
bin1100010101110110010…
…0110000001001111101
3202021021021021021022002
43011131210300021331
511433210432004041
6241222511232045
721214064265512
oct3053544601175
9667237237262
10212023313021
1181a116a6233
1235112218625
1316cbc257090
14a394c4b309
1557adc9c59b
hex315d93027d

212023313021 has 8 divisors (see below), whose sum is σ = 228389640024. Its totient is φ = 195665106240.

The previous prime is 212023313011. The next prime is 212023313027. The reversal of 212023313021 is 120313320212.

212023313021 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 4 ways, for example, as 11149036921 + 200874276100 = 105589^2 + 448190^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212023313021 - 230 = 210949571197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212023312984 and 212023313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212023313027) 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 7 ways as a sum of consecutive naturals, for example, 1975766 + ... + 2080311.

It is an arithmetic number, because the mean of its divisors is an integer number (28548705003).

Almost surely, 2212023313021 is an apocalyptic number.

It is an amenable number.

212023313021 is a deficient number, since it is larger than the sum of its proper divisors (16366327003).

212023313021 is a wasteful number, since it uses less digits than its factorization.

212023313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060111.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212023313021 its reverse (120313320212), we get a palindrome (332336633233).

The spelling of 212023313021 in words is "two hundred twelve billion, twenty-three million, three hundred thirteen thousand, twenty-one".

Divisors: 1 13 4021 52273 4056077 52729001 16309485617 212023313021