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100010002212 = 22332647349837
BaseRepresentation
bin101110100100100001…
…1111000011100100100
3100120010212110111201000
41131021003320130210
53114310030032322
6113535521233300
710140224664321
oct1351103703444
9316125414630
10100010002212
113946104799a
1217471192830
13957a902303
144baa505b48
1529050633ac
hex17490f8724

100010002212 has 48 divisors (see below), whose sum is σ = 259383886720. Its totient is φ = 33323978016.

The previous prime is 100010002201. The next prime is 100010002217. The reversal of 100010002212 is 212200010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010002194 and 100010002203.

It is not an unprimeable number, because it can be changed into a prime (100010002217) 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 15 ways as a sum of consecutive naturals, for example, 110958 + ... + 460794.

Almost surely, 2100010002212 is an apocalyptic number.

100010002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010002212 is an abundant number, since it is smaller than the sum of its proper divisors (159373884508).

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

100010002212 is a wasteful number, since it uses less digits than its factorization.

100010002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352497 (or 352489 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100010002212 its reverse (212200010001), we get a palindrome (312210012213).

The spelling of 100010002212 in words is "one hundred billion, ten million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2647 5294 7941 10588 15882 23823 31764 47646 71469 95292 142938 285876 349837 699674 1049511 1399348 2099022 3148533 4198044 6297066 9445599 12594132 18891198 37782396 926018539 1852037078 2778055617 3704074156 5556111234 8334166851 11112222468 16668333702 25002500553 33336667404 50005001106 100010002212