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20012132140 = 225721113612341
BaseRepresentation
bin10010101000110100…
…001110011100101100
31220122200100122102021
4102220310032130230
5311441101212030
613105441235524
71305630213400
oct225064163454
956580318367
1020012132140
11853a366090
123a66032ba4
131b6c064b10
14d7bb63100
157c1d6597a
hex4a8d0e72c

20012132140 has 288 divisors, whose sum is σ = 58399887168. Its totient is φ = 5660928000.

The previous prime is 20012132137. The next prime is 20012132143. The reversal of 20012132140 is 4123121002.

It is an interprime number because it is at equal distance from previous prime (20012132137) and next prime (20012132143).

It is a super-3 number, since 3×200121321403 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20012132143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8547370 + ... + 8549710.

It is an arithmetic number, because the mean of its divisors is an integer number (202777386).

Almost surely, 220012132140 is an apocalyptic number.

20012132140 is a gapful number since it is divisible by the number (20) 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 20012132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199943584).

20012132140 is an abundant number, since it is smaller than the sum of its proper divisors (38387755028).

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

20012132140 is a wasteful number, since it uses less digits than its factorization.

20012132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20012132140 its reverse (4123121002), we get a palindrome (24135253142).

The spelling of 20012132140 in words is "twenty billion, twelve million, one hundred thirty-two thousand, one hundred forty".