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2131132020 = 2235188918803
BaseRepresentation
bin111111100000110…
…0111111001110100
312111112002201112120
41333001213321310
513331032211040
6551245315540
7103545215613
oct17701477164
95445081476
102131132020
119a3a72036
124b5865bb0
1327c69b184
1416307187a
15c71667d0
hex7f067e74

2131132020 has 48 divisors (see below), whose sum is σ = 5970646080. Its totient is φ = 567970816.

The previous prime is 2131131991. The next prime is 2131132021. The reversal of 2131132020 is 202311312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131132021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103939 + ... + 122741.

It is an arithmetic number, because the mean of its divisors is an integer number (124388460).

Almost surely, 22131132020 is an apocalyptic number.

2131132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131132020 is an abundant number, since it is smaller than the sum of its proper divisors (3839514060).

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

2131132020 is a wasteful number, since it uses less digits than its factorization.

2131132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2131132020 is about 46164.1854688242. The cubic root of 2131132020 is about 1286.8762469537.

Adding to 2131132020 its reverse (202311312), we get a palindrome (2333443332).

The spelling of 2131132020 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1889 3778 5667 7556 9445 11334 18803 18890 22668 28335 37606 37780 56409 56670 75212 94015 112818 113340 188030 225636 282045 376060 564090 1128180 35518867 71037734 106556601 142075468 177594335 213113202 355188670 426226404 532783005 710377340 1065566010 2131132020