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100022222112 = 2532234672189
BaseRepresentation
bin101110100100111001…
…0011111110100100000
3100120011201110100020220
41131021302133310200
53114321142101422
6113541035203040
710140433601001
oct1351162376440
9316151410226
10100022222112
1139467a3398a
12174752a6480
1395802c0417
144babda71a8
152906178e5c
hex1749c9fd20

100022222112 has 48 divisors (see below), whose sum is σ = 263735781120. Its totient is φ = 33191223552.

The previous prime is 100022222087. The next prime is 100022222143. The reversal of 100022222112 is 211222220001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100022222091 and 100022222100.

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, 2314687 + ... + 2357502.

It is an arithmetic number, because the mean of its divisors is an integer number (5494495440).

Almost surely, 2100022222112 is an apocalyptic number.

100022222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022222112 is an abundant number, since it is smaller than the sum of its proper divisors (163713559008).

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

100022222112 is a wasteful number, since it uses less digits than its factorization.

100022222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672425 (or 4672417 counting only the distinct ones).

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

Adding to 100022222112 its reverse (211222220001), we get a palindrome (311244442113).

The spelling of 100022222112 in words is "one hundred billion, twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 21408 4672189 9344378 14016567 18688756 28033134 37377512 56066268 74755024 112132536 149510048 224265072 448530144 1041898147 2083796294 3125694441 4167592588 6251388882 8335185176 12502777764 16670370352 25005555528 33340740704 50011111056 100022222112