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131530245 = 35711263433
BaseRepresentation
bin1111101011011…
…11111000000101
3100011111102120120
413311233320011
5232132431440
621015052153
73154663050
oct765577005
9304442516
10131530245
1168277690
1238071059
1321333162
141367ba97
15b831dd0
hex7d6fe05

131530245 has 64 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 54328320.

The previous prime is 131530229. The next prime is 131530247. The reversal of 131530245 is 542035131.

It is not a de Polignac number, because 131530245 - 24 = 131530229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131530247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303549 + ... + 303981.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2131530245 is an apocalyptic number.

131530245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131530245 is an abundant number, since it is smaller than the sum of its proper divisors (132452859).

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

131530245 is a wasteful number, since it uses less digits than its factorization.

131530245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 131530245 is about 11468.6636100289. The cubic root of 131530245 is about 508.5596228608.

Adding to 131530245 its reverse (542035131), we get a palindrome (673565376).

The spelling of 131530245 in words is "one hundred thirty-one million, five hundred thirty thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 263 385 433 789 1155 1299 1315 1841 2165 2893 3031 3945 4763 5523 6495 8679 9093 9205 14289 14465 15155 20251 23815 27615 33341 43395 45465 60753 71445 100023 101255 113879 166705 303765 341637 500115 569395 797153 1252669 1708185 2391459 3758007 3985765 6263345 8768683 11957295 18790035 26306049 43843415 131530245