Search a number
-
+
212202212101 = 111947101213887
BaseRepresentation
bin1100010110100000111…
…1001100101100000101
3202021201201220021200221
43011220033030230011
511434042231241401
6241252341504341
721221366020255
oct3055017145405
9667651807627
10212202212101
1181aa3686810
12351621120b1
131701a333b19
14a3b08d9965
1557be8397a1
hex31683ccb05

212202212101 has 32 divisors (see below), whose sum is σ = 251326955520. Its totient is φ = 177097608000.

The previous prime is 212202212093. The next prime is 212202212141. The reversal of 212202212101 is 101212202212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212202212101 - 23 = 212202212093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202212141) 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 31 ways as a sum of consecutive naturals, for example, 885180 + ... + 1099066.

It is an arithmetic number, because the mean of its divisors is an integer number (7853967360).

Almost surely, 2212202212101 is an apocalyptic number.

It is an amenable number.

212202212101 is a deficient number, since it is larger than the sum of its proper divisors (39124743419).

212202212101 is a wasteful number, since it uses less digits than its factorization.

212202212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214065.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212202212101 its reverse (101212202212), we get a palindrome (313414414313).

It can be divided in two parts, 212202212 and 101, that multiplied together give a palindrome (21432423412).

The spelling of 212202212101 in words is "two hundred twelve billion, two hundred two million, two hundred twelve thousand, one hundred one".

Divisors: 1 11 19 47 101 209 517 893 1111 1919 4747 9823 21109 52217 90193 213887 992123 2352757 4063853 10052689 21602587 44702383 110579579 191001091 237628457 410449153 1015321589 2101012001 4514940683 11168537479 19291110191 212202212101