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131403321 = 32729711013
BaseRepresentation
bin1111101010100…
…00111000111001
3100011020222110200
413311100320321
5232114401241
621012232413
73153624030
oct765207071
9304228420
10131403321
11681a0295
123800b709
13212ba45a
1413647717
15b8094b6
hex7d50e39

131403321 has 48 divisors (see below), whose sum is σ = 227784960. Its totient is φ = 71406720.

The previous prime is 131403299. The next prime is 131403331. The reversal of 131403321 is 123304131.

It is not a de Polignac number, because 131403321 - 215 = 131370553 is a prime.

131403321 is a modest number, since divided by 3321 gives 1314 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 131403294 and 131403303.

It is not an unprimeable number, because it can be changed into a prime (131403331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129211 + ... + 130223.

It is an arithmetic number, because the mean of its divisors is an integer number (4745520).

Almost surely, 2131403321 is an apocalyptic number.

It is an amenable number.

131403321 is a deficient number, since it is larger than the sum of its proper divisors (96381639).

131403321 is a wasteful number, since it uses less digits than its factorization.

131403321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131403321 is about 11463.1287613810. The cubic root of 131403321 is about 508.3959869981.

Adding to 131403321 its reverse (123304131), we get a palindrome (254707452).

It can be divided in two parts, 13140 and 3321, that added together give a palindrome (16461).

The spelling of 131403321 in words is "one hundred thirty-one million, four hundred three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 29 63 71 87 203 213 261 497 609 639 1013 1491 1827 2059 3039 4473 6177 7091 9117 14413 18531 21273 29377 43239 63819 71923 88131 129717 205639 215769 264393 503461 616917 647307 1510383 1850751 2085767 4531149 6257301 14600369 18771903 43801107 131403321