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131378533 = 11213174
BaseRepresentation
bin1111101010010…
…10110101100101
3100011012201110121
413311022311211
5232113103113
621011521541
73153461536
oct765126545
9304181417
10131378533
1168183700
1237bb92b1
13212ac0a0
141363c68d
15b801e8d
hex7d4ad65

131378533 has 30 divisors (see below), whose sum is σ = 165235742. Its totient is φ = 103762560.

The previous prime is 131378519. The next prime is 131378537. The reversal of 131378533 is 335873131.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1089 + 131377444 = 33^2 + 11462^2 .

It is not a de Polignac number, because 131378533 - 29 = 131378021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131378537) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7728141 + ... + 7728157.

Almost surely, 2131378533 is an apocalyptic number.

131378533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131378533 is a deficient number, since it is larger than the sum of its proper divisors (33857209).

131378533 is an frugal number, since it uses more digits than its factorization.

131378533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 131378533 is about 11462.0475047000. The cubic root of 131378533 is about 508.3640169481.

The spelling of 131378533 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, five hundred thirty-three".

Divisors: 1 11 13 17 121 143 187 221 289 1573 2057 2431 3179 3757 4913 26741 34969 41327 54043 63869 83521 454597 594473 702559 918731 1085773 7728149 10106041 11943503 131378533