Search a number
-
+
212102220231 = 321121910250941
BaseRepresentation
bin1100010110001001000…
…1110000100111000111
3202021110202202011122100
43011202101300213013
511433341132021411
6241234410403143
721216043060626
oct3054221604707
9667422664570
10212102220231
1181a521a0400
12351347304b3
13170026c3c35
14a3a150b6bd
1557b5b87456
hex31624709c7

212102220231 has 36 divisors (see below), whose sum is σ = 354477574360. Its totient is φ = 121781167200.

The previous prime is 212102220229. The next prime is 212102220233. The reversal of 212102220231 is 132022201212.

212102220231 is a `hidden beast` number, since 2 + 1 + 210 + 2 + 220 + 231 = 666.

It is an interprime number because it is at equal distance from previous prime (212102220229) and next prime (212102220233).

It is not a de Polignac number, because 212102220231 - 21 = 212102220229 is a prime.

It is a super-2 number, since 2×2121022202312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102220233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5104780 + ... + 5146161.

Almost surely, 2212102220231 is an apocalyptic number.

212102220231 is a deficient number, since it is larger than the sum of its proper divisors (142375354129).

212102220231 is a wasteful number, since it uses less digits than its factorization.

212102220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250988 (or 10250974 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212102220231 its reverse (132022201212), we get a palindrome (344124421443).

The spelling of 212102220231 in words is "two hundred twelve billion, one hundred two million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1881 2299 6897 20691 10250941 30752823 92258469 112760351 194767879 338281053 584303637 1014843159 1240363861 1752910911 2142446669 3721091583 6427340007 11163274749 19282020021 23566913359 70700740077 212102220231