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12100420140 = 223517731011609
BaseRepresentation
bin10110100010011110…
…11100001000101100
31011020022002000212220
423101033130020230
5144240201421030
65320413555340
7605600605554
oct132117341054
934208060786
1012100420140
11514a40a826
1224184a5b50
1311aabc4623
1482b0bc164
154ac4a9a10
hex2d13dc22c

12100420140 has 192 divisors, whose sum is σ = 36748494720. Its totient is φ = 2963865600.

The previous prime is 12100420139. The next prime is 12100420151. The reversal of 12100420140 is 4102400121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7519656 + ... + 7521264.

It is an arithmetic number, because the mean of its divisors is an integer number (191398410).

Almost surely, 212100420140 is an apocalyptic number.

12100420140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18374247360).

12100420140 is an abundant number, since it is smaller than the sum of its proper divisors (24648074580).

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

12100420140 is a wasteful number, since it uses less digits than its factorization.

12100420140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1810 counting only the distinct ones).

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

Adding to 12100420140 its reverse (4102400121), we get a palindrome (16202820261).

The spelling of 12100420140 in words is "twelve billion, one hundred million, four hundred twenty thousand, one hundred forty".