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131430411 = 337739941
BaseRepresentation
bin1111101010101…
…11100000001011
3100011022100122000
413311113200023
5232121233121
621013002043
73154066020
oct765274013
9304270560
10131430411
1168209682
1238023323
13212c9898
1413653547
15b812526
hex7d5780b

131430411 has 32 divisors (see below), whose sum is σ = 223065600. Its totient is φ = 74921760.

The previous prime is 131430371. The next prime is 131430427. The reversal of 131430411 is 114034131.

It is not a de Polignac number, because 131430411 - 29 = 131429899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131430511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139201 + ... + 140141.

It is an arithmetic number, because the mean of its divisors is an integer number (6970800).

Almost surely, 2131430411 is an apocalyptic number.

131430411 is a deficient number, since it is larger than the sum of its proper divisors (91635189).

131430411 is an equidigital number, since it uses as much as digits as its factorization.

131430411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131430411 is about 11464.3103150604. The cubic root of 131430411 is about 508.4309214296.

Adding to 131430411 its reverse (114034131), we get a palindrome (245464542).

It can be divided in two parts, 131430 and 411, that added together give a triangular number (131841 = T513).

The spelling of 131430411 in words is "one hundred thirty-one million, four hundred thirty thousand, four hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 739 941 2217 2823 5173 6587 6651 8469 15519 19761 19953 25407 46557 59283 139671 177849 695399 2086197 4867793 6258591 14603379 18775773 43810137 131430411