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101100102212 = 22171486766209
BaseRepresentation
bin101111000101000001…
…0010010001001000100
3100122221211200022210002
41132022002102021010
53124023111232322
6114240022020432
710206232455404
oct1361202221104
9318854608702
10101100102212
113997041018a
1217716277718
1396c26c7ab5
144c711c8804
15296aae0c92
hex178a092244

101100102212 has 12 divisors (see below), whose sum is σ = 187332542460. Its totient is φ = 47576518656.

The previous prime is 101100102199. The next prime is 101100102223. The reversal of 101100102212 is 212201001101.

It can be written as a sum of positive squares in 2 ways, for example, as 83829937156 + 17270165056 = 289534^2 + 131416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100102193 and 101100102202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 743383037 + ... + 743383172.

It is an arithmetic number, because the mean of its divisors is an integer number (15611045205).

Almost surely, 2101100102212 is an apocalyptic number.

It is an amenable number.

101100102212 is a deficient number, since it is larger than the sum of its proper divisors (86232440248).

101100102212 is a wasteful number, since it uses less digits than its factorization.

101100102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486766230 (or 1486766228 counting only the distinct ones).

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

Adding to 101100102212 its reverse (212201001101), we get a palindrome (313301103313).

The spelling of 101100102212 in words is "one hundred one billion, one hundred million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 17 34 68 1486766209 2973532418 5947064836 25275025553 50550051106 101100102212