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131211819 = 341619899
BaseRepresentation
bin1111101001000…
…10001000101011
3100010220020210000
413310202020223
5232042234234
621004154043
73152165514
oct764421053
9303806700
10131211819
116807a422
1237b38923
132125123b
14135d7a0b
15b7bc899
hex7d2222b

131211819 has 10 divisors (see below), whose sum is σ = 196007900. Its totient is φ = 87474492.

The previous prime is 131211781. The next prime is 131211851. The reversal of 131211819 is 918112131.

It is not a de Polignac number, because 131211819 - 29 = 131211307 is a prime.

It is a super-2 number, since 2×1312118192 = 34433082890577522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131211792 and 131211801.

It is not an unprimeable number, because it can be changed into a prime (131211859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 809869 + ... + 810030.

It is an arithmetic number, because the mean of its divisors is an integer number (19600790).

Almost surely, 2131211819 is an apocalyptic number.

131211819 is a deficient number, since it is larger than the sum of its proper divisors (64796081).

131211819 is an equidigital number, since it uses as much as digits as its factorization.

131211819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619911 (or 1619902 counting only the distinct ones).

The product of its digits is 432, while the sum is 27.

The square root of 131211819 is about 11454.7727607317. The cubic root of 131211819 is about 508.1488948608.

It can be divided in two parts, 1312 and 11819, that added together give a palindrome (13131).

The spelling of 131211819 in words is "one hundred thirty-one million, two hundred eleven thousand, eight hundred nineteen".

Divisors: 1 3 9 27 81 1619899 4859697 14579091 43737273 131211819