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12100220016 = 2431714828701
BaseRepresentation
bin10110100010011101…
…01011010001110000
31011020021200212100220
423101032223101300
5144240124020031
65320405413040
7605566113243
oct132116532160
934207625326
1012100220016
11514a293435
12241840a180
1311aab54501
1482b06925a
154ac46a596
hex2d13ab470

12100220016 has 40 divisors (see below), whose sum is σ = 33097662864. Its totient is φ = 3796147200.

The previous prime is 12100219981. The next prime is 12100220017. The reversal of 12100220016 is 61002200121.

It is a junction number, because it is equal to n+sod(n) for n = 12100219977 and 12100220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100220017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7413535 + ... + 7415166.

Almost surely, 212100220016 is an apocalyptic number.

12100220016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12100220016 is an abundant number, since it is smaller than the sum of its proper divisors (20997442848).

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

12100220016 is a wasteful number, since it uses less digits than its factorization.

12100220016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14828729 (or 14828723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Subtracting from 12100220016 its sum of digits (15), we obtain a square (12100220001 = 1100012).

Adding to 12100220016 its reverse (61002200121), we get a palindrome (73102420137).

The spelling of 12100220016 in words is "twelve billion, one hundred million, two hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 14828701 29657402 44486103 59314804 88972206 118629608 177944412 237259216 252087917 355888824 504175834 711777648 756263751 1008351668 1512527502 2016703336 3025055004 4033406672 6050110008 12100220016