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131510340 = 2232513431307
BaseRepresentation
bin1111101011010…
…11000001000100
3100011110102021100
413311223001010
5232131312330
621014420100
73154551033
oct765530104
9304412240
10131510340
1168263735
1238061630
1321327090
141367471a
15b82b060
hex7d6b044

131510340 has 144 divisors (see below), whose sum is σ = 439927488. Its totient is φ = 31594752.

The previous prime is 131510333. The next prime is 131510341. The reversal of 131510340 is 43015131.

131510340 is a `hidden beast` number, since 1 + 315 + 10 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131510341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99967 + ... + 101273.

It is an arithmetic number, because the mean of its divisors is an integer number (3055052).

Almost surely, 2131510340 is an apocalyptic number.

131510340 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 131510340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219963744).

131510340 is an abundant number, since it is smaller than the sum of its proper divisors (308417148).

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

131510340 is a wasteful number, since it uses less digits than its factorization.

131510340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131510340 is about 11467.7957777421. The cubic root of 131510340 is about 508.5339674435.

Adding to 131510340 its reverse (43015131), we get a palindrome (174525471).

The spelling of 131510340 in words is "one hundred thirty-one million, five hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1307 1548 1677 1935 2236 2340 2580 2614 2795 3354 3870 3921 5031 5228 5590 6535 6708 7740 7842 8385 10062 11180 11763 13070 15684 16770 16991 19605 20124 23526 25155 26140 33540 33982 39210 47052 50310 50973 56201 58815 67964 78420 84955 100620 101946 112402 117630 152919 168603 169910 203892 224804 235260 254865 281005 305838 337206 339820 505809 509730 562010 611676 674412 730613 764595 843015 1011618 1019460 1124020 1461226 1529190 1686030 2023236 2191839 2529045 2922452 3058380 3372060 3653065 4383678 5058090 6575517 7306130 8767356 10116180 10959195 13151034 14612260 21918390 26302068 32877585 43836780 65755170 131510340