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12131333040 = 243550547221
BaseRepresentation
bin10110100110001010…
…10111001110110000
31011022110020120102010
423103011113032300
5144321110124130
65323440322520
7606424425621
oct132305271660
934273216363
1012131333040
115165904082
122426913440
1311b4428c98
14831247a48
154b00640b0
hex2d31573b0

12131333040 has 40 divisors (see below), whose sum is σ = 37607133168. Its totient is φ = 3235022080.

The previous prime is 12131333029. The next prime is 12131333051. The reversal of 12131333040 is 4033313121.

12131333040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12131333029) and next prime (12131333051).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12131332998 and 12131333016.

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, 25273371 + ... + 25273850.

Almost surely, 212131333040 is an apocalyptic number.

12131333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131333040 is an abundant number, since it is smaller than the sum of its proper divisors (25475800128).

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

12131333040 is a wasteful number, since it uses less digits than its factorization.

12131333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50547237 (or 50547231 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12131333040 its reverse (4033313121), we get a palindrome (16164646161).

The spelling of 12131333040 in words is "twelve billion, one hundred thirty-one million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50547221 101094442 151641663 202188884 252736105 303283326 404377768 505472210 606566652 758208315 808755536 1010944420 1213133304 1516416630 2021888840 2426266608 3032833260 4043777680 6065666520 12131333040