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112200100012 = 2271113128321841
BaseRepresentation
bin110100001111110100…
…1011010100010101100
3101201121102021122012201
41220133221122202230
53314241211200022
6123313301311244
711051265054130
oct1503751324254
9351542248181
10112200100012
1143647038890
12198b3705524
13a771264c30
1456054893c0
152dba334127
hex1a1fa5a8ac

112200100012 has 96 divisors (see below), whose sum is σ = 263848564224. Its totient is φ = 40318387200.

The previous prime is 112200099997. The next prime is 112200100031. The reversal of 112200100012 is 210001002211.

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 31 ways as a sum of consecutive naturals, for example, 5126212 + ... + 5148052.

It is an arithmetic number, because the mean of its divisors is an integer number (2748422544).

Almost surely, 2112200100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131924282112).

112200100012 is an abundant number, since it is smaller than the sum of its proper divisors (151648464212).

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

112200100012 is a wasteful number, since it uses less digits than its factorization.

112200100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23159 (or 23157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112200100012 its reverse (210001002211), we get a palindrome (322201102223).

It can be divided in two parts, 112200 and 100012, that added together give a palindrome (212212).

The spelling of 112200100012 in words is "one hundred twelve billion, two hundred million, one hundred thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1283 2002 2566 4004 5132 8981 14113 16679 17962 21841 28226 33358 35924 43682 56452 66716 87364 98791 116753 152887 183469 197582 233506 240251 283933 305774 366938 395164 467012 480502 567866 611548 733876 961004 1135732 1284283 1681757 1987531 2568566 3123263 3363514 3975062 5137132 6246526 6727028 7950124 12493052 21862841 28022003 43725682 56044006 87451364 112088012 196154021 308242033 364286039 392308042 616484066 728572078 784616084 1232968132 1457144156 2157694231 2550002273 4007146429 4315388462 5100004546 8014292858 8630776924 10200009092 16028585716 28050025003 56100050006 112200100012