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212010100212 = 223234719982129
BaseRepresentation
bin1100010101110011001…
…0010110010111110100
3202021020100101222201210
43011130302112113310
511433144041201322
6241221320121420
721213544055301
oct3053462262764
9667210358653
10212010100212
1181a051a1259
1235109906270
1316cb95ac051
14a3931ac0a8
1557aca3c70c
hex315cc965f4

212010100212 has 96 divisors (see below), whose sum is σ = 529837056000. Its totient is φ = 65825920512.

The previous prime is 212010100199. The next prime is 212010100217. The reversal of 212010100212 is 212001010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010100217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540364 + ... + 2622492.

It is an arithmetic number, because the mean of its divisors is an integer number (5519136000).

Almost surely, 2212010100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264918528000).

212010100212 is an abundant number, since it is smaller than the sum of its proper divisors (317826955788).

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

212010100212 is a wasteful number, since it uses less digits than its factorization.

212010100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82405 (or 82403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212010100212 its reverse (212001010212), we get a palindrome (424011110424).

The spelling of 212010100212 in words is "two hundred twelve billion, ten million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 199 276 282 398 564 597 796 1081 1194 2162 2388 3243 4324 4577 6486 9154 9353 12972 13731 18308 18706 27462 28059 37412 54924 56118 82129 112236 164258 215119 246387 328516 430238 492774 645357 860476 985548 1290714 1888967 2581428 3777934 3860063 5666901 7555868 7720126 11333802 11580189 15440252 16343671 22667604 23160378 32687342 46320756 49031013 65374684 88781449 98062026 177562898 196124052 266344347 355125796 375904433 532688694 751808866 768152537 1065377388 1127713299 1503617732 1536305074 2255426598 2304457611 3072610148 4510853196 4608915222 9217830444 17667508351 35335016702 53002525053 70670033404 106005050106 212010100212