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12100320112 = 241744999079
BaseRepresentation
bin10110100010011110…
…00011101101110000
31011020021212221200011
423101033003231300
5144240140220422
65320411504304
7605600011126
oct132117035560
934207787604
1012100320112
11514a351661
122418458094
1311aab8ac3a
1482b093916
154ac48a077
hex2d13c3b70

12100320112 has 40 divisors (see below), whose sum is σ = 24878988000. Its totient is φ = 5681528832.

The previous prime is 12100320109. The next prime is 12100320137. The reversal of 12100320112 is 21102300121.

12100320112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12100320092 and 12100320101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72589 + ... + 171667.

It is an arithmetic number, because the mean of its divisors is an integer number (621974700).

Almost surely, 212100320112 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 12100320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439494000).

12100320112 is an abundant number, since it is smaller than the sum of its proper divisors (12778667888).

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

12100320112 is a wasteful number, since it uses less digits than its factorization.

12100320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99553 (or 99547 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12100320112 its reverse (21102300121), we get a palindrome (33202620233).

The spelling of 12100320112 in words is "twelve billion, one hundred million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 449 898 1796 3592 7184 7633 15266 30532 61064 99079 122128 198158 396316 792632 1585264 1684343 3368686 6737372 13474744 26949488 44486471 88972942 177945884 355891768 711783536 756270007 1512540014 3025080028 6050160056 12100320112