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131301345 = 3573733797
BaseRepresentation
bin1111101001101…
…11111111100001
3100011001210120210
413310313333201
5232103120340
621010124333
73153020520
oct764677741
9304053523
10131301345
116813070a
1237b806a9
1321282c06
141361c4b7
15b7d9180
hex7d37fe1

131301345 has 32 divisors (see below), whose sum is σ = 246590208. Its totient is φ = 58399488.

The previous prime is 131301329. The next prime is 131301361. The reversal of 131301345 is 543103131.

It is an interprime number because it is at equal distance from previous prime (131301329) and next prime (131301361).

It is not a de Polignac number, because 131301345 - 24 = 131301329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13014 + ... + 20783.

It is an arithmetic number, because the mean of its divisors is an integer number (7705944).

Almost surely, 2131301345 is an apocalyptic number.

131301345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131301345 is a deficient number, since it is larger than the sum of its proper divisors (115288863).

131301345 is a wasteful number, since it uses less digits than its factorization.

131301345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33849.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131301345 is about 11458.6798977893. The cubic root of 131301345 is about 508.2644388103.

Adding to 131301345 its reverse (543103131), we get a palindrome (674404476).

It can be divided in two parts, 131 and 301345, that added together give a triangular number (301476 = T776).

The spelling of 131301345 in words is "one hundred thirty-one million, three hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 259 555 777 1295 3885 33797 101391 168985 236579 506955 709737 1182895 1250489 3548685 3751467 6252445 8753423 18757335 26260269 43767115 131301345