Search a number
-
+
212200200212 = 2271113431122963
BaseRepresentation
bin1100010110100000011…
…1100001100000010100
3202021201121010001220112
43011220013201200110
511434041222401322
6241252230422152
721221342640560
oct3055007414024
9667647101815
10212200200212
1181aa25321a0
1235161501958
1317019aab160
14a3b05346a0
1557be58d5e2
hex31681e1814

212200200212 has 96 divisors (see below), whose sum is σ = 499757174784. Its totient is φ = 76138070400.

The previous prime is 212200200151. The next prime is 212200200221. The reversal of 212200200212 is 212002002212.

212200200212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1664243 + ... + 1787205.

It is an arithmetic number, because the mean of its divisors is an integer number (5205803904).

Almost surely, 2212200200212 is an apocalyptic number.

212200200212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212200200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249878587392).

212200200212 is an abundant number, since it is smaller than the sum of its proper divisors (287556974572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212200200212 is a wasteful number, since it uses less digits than its factorization.

212200200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123429 (or 123427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212200200212 its reverse (212002002212), we get a palindrome (424202202424).

The spelling of 212200200212 in words is "two hundred twelve billion, two hundred million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 431 572 862 1001 1724 2002 3017 4004 4741 5603 6034 9482 11206 12068 18964 22412 33187 39221 61633 66374 78442 122963 123266 132748 156884 245926 246532 431431 491852 860741 862862 1352593 1598519 1721482 1725724 2705186 3197038 3442964 5410372 6394076 9468151 11189633 17583709 18936302 22379266 35167418 37872604 44758532 52997053 70334836 105994106 123085963 211988212 246171926 370979371 492343852 582967583 688961689 741958742 1165935166 1377923378 1483917484 2331870332 2755846756 4080773081 4822731823 7578578579 8161546162 9645463646 15157157158 16323092324 19290927292 30314314316 53050050053 106100100106 212200200212