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1000100110212 = 223273968651231
BaseRepresentation
bin11101000110110101001…
…11001001111110000100
310112121102200210112212200
432203122213021332010
5112341201112011322
62043234544114500
7132153261450360
oct16433247117604
93477380715780
101000100110212
1135615a492205
121419ab605a30
1373402c4a558
14365958662a0
151b03543d8ac
hexe8da9c9f84

1000100110212 has 36 divisors (see below), whose sum is σ = 2889178096896. Its totient is φ = 285742888560.

The previous prime is 1000100110193. The next prime is 1000100110223. The reversal of 1000100110212 is 2120110010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1000100110194 and 1000100110203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1984325364 + ... + 1984325867.

It is an arithmetic number, because the mean of its divisors is an integer number (80254947136).

Almost surely, 21000100110212 is an apocalyptic number.

1000100110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000100110212 is an abundant number, since it is smaller than the sum of its proper divisors (1889077986684).

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

1000100110212 is a wasteful number, since it uses less digits than its factorization.

1000100110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968651248 (or 3968651243 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000100110212 its reverse (2120110010001), we get a palindrome (3120210120213).

The spelling of 1000100110212 in words is "one trillion, one hundred million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3968651231 7937302462 11905953693 15874604924 23811907386 27780558617 35717861079 47623814772 55561117234 71435722158 83341675851 111122234468 142871444316 166683351702 250025027553 333366703404 500050055106 1000100110212