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100011102212 = 22731711267587
BaseRepresentation
bin101110100100100100…
…0000101000000000100
3100120010221112101121202
41131021020011000010
53114310320232322
6113540001002032
710140240225320
oct1351110050004
9316127471552
10100011102212
113946172938a
1217471623318
13957abc8bb8
144baa710980
1529051ce292
hex1749205004

100011102212 has 24 divisors (see below), whose sum is σ = 200653207104. Its totient is φ = 42726686112.

The previous prime is 100011102211. The next prime is 100011102229. The reversal of 100011102212 is 212201110001.

It is a super-2 number, since 2×1000111022122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011102193 and 100011102202.

It is not an unprimeable number, because it can be changed into a prime (100011102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5624918 + ... + 5642669.

It is an arithmetic number, because the mean of its divisors is an integer number (8360550296).

Almost surely, 2100011102212 is an apocalyptic number.

It is an amenable number.

100011102212 is an abundant number, since it is smaller than the sum of its proper divisors (100642104892).

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

100011102212 is a wasteful number, since it uses less digits than its factorization.

100011102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267915 (or 11267913 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100011102212 its reverse (212201110001), we get a palindrome (312212212213).

The spelling of 100011102212 in words is "one hundred billion, eleven million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 317 634 1268 2219 4438 8876 11267587 22535174 45070348 78873109 157746218 315492436 3571825079 7143650158 14287300316 25002775553 50005551106 100011102212