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131130031110 = 2351312718114627
BaseRepresentation
bin111101000011111110…
…1010111110000000110
3110112110200021202212220
41322013331113300012
54122023241443420
6140123523353210
712321344605461
oct1720775276006
9415420252786
10131130031110
1150680536241
12214b7222806
13c49a03b6b0
1464bd5c42d8
15362717c840
hex1e87f57c06

131130031110 has 128 divisors (see below), whose sum is σ = 343500079104. Its totient is φ = 31844897280.

The previous prime is 131130031103. The next prime is 131130031147. The reversal of 131130031110 is 11130031131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131130031110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957617 + ... + 8972243.

It is an arithmetic number, because the mean of its divisors is an integer number (2683594368).

Almost surely, 2131130031110 is an apocalyptic number.

131130031110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131130031110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171750039552).

131130031110 is an abundant number, since it is smaller than the sum of its proper divisors (212370047994).

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

131130031110 is a wasteful number, since it uses less digits than its factorization.

131130031110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131130031110 its reverse (11130031131), we get a palindrome (142260062241).

The spelling of 131130031110 in words is "one hundred thirty-one billion, one hundred thirty million, thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 181 195 254 362 381 390 543 635 762 905 1086 1270 1651 1810 1905 2353 2715 3302 3810 4706 4953 5430 7059 8255 9906 11765 14118 14627 16510 22987 23530 24765 29254 35295 43881 45974 49530 68961 70590 73135 87762 114935 137922 146270 190151 219405 229870 298831 344805 380302 438810 570453 597662 689610 896493 950755 1140906 1494155 1792986 1857629 1901510 2647487 2852265 2988310 3715258 4482465 5294974 5572887 5704530 7942461 8964930 9288145 11145774 13237435 15884922 18576290 24149177 26474870 27864435 34417331 39712305 48298354 55728870 68834662 72447531 79424610 103251993 120745885 144895062 172086655 206503986 241491770 336230849 344173310 362237655 516259965 672461698 724475310 1008692547 1032519930 1681154245 2017385094 3362308490 4371001037 5043462735 8742002074 10086925470 13113003111 21855005185 26226006222 43710010370 65565015555 131130031110