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131354505 = 32519672293
BaseRepresentation
bin1111101010001…
…00111110001001
3100011011111111200
413311010332021
5232111321010
621011214413
73153331512
oct765047611
9304144450
10131354505
1168167647
1237ba7409
13212a1179
1413633a09
15b7e9cc0
hex7d44f89

131354505 has 48 divisors (see below), whose sum is σ = 243347520. Its totient is φ = 65349504.

The previous prime is 131354479. The next prime is 131354567. The reversal of 131354505 is 505453131.

It is not a de Polignac number, because 131354505 - 218 = 131092361 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56139 + ... + 58431.

It is an arithmetic number, because the mean of its divisors is an integer number (5069740).

Almost surely, 2131354505 is an apocalyptic number.

131354505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131354505 is a deficient number, since it is larger than the sum of its proper divisors (111993015).

131354505 is a wasteful number, since it uses less digits than its factorization.

131354505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 131354505 is about 11460.9993019806. Note that the first 3 decimals coincide. The cubic root of 131354505 is about 508.3330232612. Note that the first 3 decimals are identical.

The spelling of 131354505 in words is "one hundred thirty-one million, three hundred fifty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 19 45 57 67 95 171 201 285 335 603 855 1005 1273 2293 3015 3819 6365 6879 11457 11465 19095 20637 34395 43567 57285 103185 130701 153631 217835 392103 460893 653505 768155 1382679 1960515 2304465 2918989 6913395 8756967 14594945 26270901 43784835 131354505