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131203033 = 1316136257
BaseRepresentation
bin1111101000111…
…11111111011001
3100010212210201121
413310133333121
5232041444113
621004045241
73152131063
oct764377731
9303783647
10131203033
1168073865
1237b33821
132124a240
14135d4733
15b7b9e8d
hex7d1ffd9

131203033 has 8 divisors (see below), whose sum is σ = 141405768. Its totient is φ = 121016064.

The previous prime is 131203003. The next prime is 131203043. The reversal of 131203033 is 330302131.

It can be written as a sum of positive squares in 4 ways, for example, as 42146064 + 89056969 = 6492^2 + 9437^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131203033 - 213 = 131194841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131202998 and 131203016.

It is not an unprimeable number, because it can be changed into a prime (131203003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17841 + ... + 24097.

It is an arithmetic number, because the mean of its divisors is an integer number (17675721).

Almost surely, 2131203033 is an apocalyptic number.

131203033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131203033 is a deficient number, since it is larger than the sum of its proper divisors (10202735).

131203033 is a wasteful number, since it uses less digits than its factorization.

131203033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7883.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 131203033 is about 11454.3892460489. The cubic root of 131203033 is about 508.1375526513.

Adding to 131203033 its reverse (330302131), we get a palindrome (461505164).

The spelling of 131203033 in words is "one hundred thirty-one million, two hundred three thousand, thirty-three".

Divisors: 1 13 1613 6257 20969 81341 10092541 131203033