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100022122212 = 22311373762627
BaseRepresentation
bin101110100100111001…
…0000111011011100100
3100120011201021021012220
41131021302013123210
53114321130402322
6113541033112340
710140433003515
oct1351162073344
9316151237186
10100022122212
1139467975921
12174752586b0
139580286acc
144babd7ca0c
15290615955c
hex1749c876e4

100022122212 has 24 divisors (see below), whose sum is σ = 235450308576. Its totient is φ = 33045656448.

The previous prime is 100022122153. The next prime is 100022122243. The reversal of 100022122212 is 212221220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022122191 and 100022122200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36879958 + ... + 36882669.

It is an arithmetic number, because the mean of its divisors is an integer number (9810429524).

Almost surely, 2100022122212 is an apocalyptic number.

100022122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022122212 is an abundant number, since it is smaller than the sum of its proper divisors (135428186364).

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

100022122212 is a wasteful number, since it uses less digits than its factorization.

100022122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73762747 (or 73762745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100022122212 its reverse (212221220001), we get a palindrome (312243342213).

The spelling of 100022122212 in words is "one hundred billion, twenty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 73762627 147525254 221287881 295050508 442575762 885151524 8335176851 16670353702 25005530553 33340707404 50011061106 100022122212