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131303029 = 1121326421
BaseRepresentation
bin1111101001110…
…00011001110101
3100011001212220011
413310320121311
5232103144104
621010140221
73153025444
oct764703165
9304055804
10131303029
1168131a00
1237b81671
1321283900
141361cd5b
15b7d9904
hex7d38675

131303029 has 18 divisors (see below), whose sum is σ = 156305058. Its totient is φ = 110167200.

The previous prime is 131303027. The next prime is 131303041. The reversal of 131303029 is 920303131.

It can be written as a sum of positive squares in 3 ways, for example, as 1684804 + 129618225 = 1298^2 + 11385^2 .

It is not a de Polignac number, because 131303029 - 21 = 131303027 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303027) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17239 + ... + 23659.

Almost surely, 2131303029 is an apocalyptic number.

It is an amenable number.

131303029 is a deficient number, since it is larger than the sum of its proper divisors (25002029).

131303029 is a wasteful number, since it uses less digits than its factorization.

131303029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 131303029 is about 11458.7533789675. The cubic root of 131303029 is about 508.2666117092.

The spelling of 131303029 in words is "one hundred thirty-one million, three hundred three thousand, twenty-nine".

Divisors: 1 11 13 121 143 169 1573 1859 6421 20449 70631 83473 776941 918203 1085149 10100233 11936639 131303029