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131351080 = 23571313581
BaseRepresentation
bin1111101010001…
…00001000101000
3100011011022210211
413311010020220
5232111213310
621011150504
73153315520
oct765041050
9304138724
10131351080
1168165013
1237ba5434
132129c743
1413632680
15b7e8c8a
hex7d44228

131351080 has 64 divisors (see below), whose sum is σ = 340433280. Its totient is φ = 44678400.

The previous prime is 131351071. The next prime is 131351083. The reversal of 131351080 is 80153131.

It is not an unprimeable number, because it can be changed into a prime (131351083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34890 + ... + 38470.

It is an arithmetic number, because the mean of its divisors is an integer number (5319270).

Almost surely, 2131351080 is an apocalyptic number.

131351080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131351080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170216640).

131351080 is an abundant number, since it is smaller than the sum of its proper divisors (209082200).

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

131351080 is a wasteful number, since it uses less digits than its factorization.

131351080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 131351080 is about 11460.8498812261. The cubic root of 131351080 is about 508.3286050502.

The spelling of 131351080 in words is "one hundred thirty-one million, three hundred fifty-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 280 524 655 917 1048 1310 1834 2620 3581 3668 4585 5240 7162 7336 9170 14324 17905 18340 25067 28648 35810 36680 50134 71620 100268 125335 143240 200536 250670 469111 501340 938222 1002680 1876444 2345555 3283777 3752888 4691110 6567554 9382220 13135108 16418885 18764440 26270216 32837770 65675540 131351080