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131401818 = 2336473761
BaseRepresentation
bin1111101010100…
…00100001011010
3100011020220102000
413311100201122
5232114324233
621012221430
73153616452
oct765204132
9304226360
10131401818
116819a149
123800a876
13212b9872
1413646d62
15b808d13
hex7d5085a

131401818 has 32 divisors (see below), whose sum is σ = 292533120. Its totient is φ = 43721280.

The previous prime is 131401817. The next prime is 131401819. The reversal of 131401818 is 818104131.

It is an interprime number because it is at equal distance from previous prime (131401817) and next prime (131401819).

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

It is a junction number, because it is equal to n+sod(n) for n = 131401791 and 131401800.

It is not an unprimeable number, because it can be changed into a prime (131401817) 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 15 ways as a sum of consecutive naturals, for example, 33058 + ... + 36818.

It is an arithmetic number, because the mean of its divisors is an integer number (9141660).

Almost surely, 2131401818 is an apocalyptic number.

131401818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131401818 is an abundant number, since it is smaller than the sum of its proper divisors (161131302).

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

131401818 is a wasteful number, since it uses less digits than its factorization.

131401818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 131401818 is about 11463.0632031757. The cubic root of 131401818 is about 508.3940486349.

Adding to 131401818 its reverse (818104131), we get a palindrome (949505949).

The spelling of 131401818 in words is "one hundred thirty-one million, four hundred one thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 647 1294 1941 3761 3882 5823 7522 11283 11646 17469 22566 33849 34938 67698 101547 203094 2433367 4866734 7300101 14600202 21900303 43800606 65700909 131401818