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131244435 = 3357138883
BaseRepresentation
bin1111101001010…
…10000110010011
3100010221220112000
413310222012103
5232044310220
621005005043
73152362560
oct764520623
9303856460
10131244435
11680a1983
1237b53783
132126303a
1413605867
15b7c7390
hex7d2a193

131244435 has 32 divisors (see below), whose sum is σ = 266657280. Its totient is φ = 59997024.

The previous prime is 131244433. The next prime is 131244469. The reversal of 131244435 is 534442131.

It is a happy number.

It is not a de Polignac number, because 131244435 - 21 = 131244433 is a prime.

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 = 131244399 and 131244408.

It is not an unprimeable number, because it can be changed into a prime (131244431) 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, 68497 + ... + 70386.

It is an arithmetic number, because the mean of its divisors is an integer number (8333040).

Almost surely, 2131244435 is an apocalyptic number.

131244435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131244435 is an abundant number, since it is smaller than the sum of its proper divisors (135412845).

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

131244435 is a wasteful number, since it uses less digits than its factorization.

131244435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138904 (or 138898 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 131244435 is about 11456.1963583032. The cubic root of 131244435 is about 508.1909957717.

Adding to 131244435 its reverse (534442131), we get a palindrome (665686566).

The spelling of 131244435 in words is "one hundred thirty-one million, two hundred forty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 138883 416649 694415 972181 1249947 2083245 2916543 3749841 4860905 6249735 8749629 14582715 18749205 26248887 43748145 131244435