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131100110010 = 233519223114599
BaseRepresentation
bin111101000011000101…
…1001110110010111010
3110112101120222121212000
41322012023032302322
54121443112010020
6140120534201430
712320532356112
oct1720613166272
9415346877760
10131100110010
115066565a061
12214a91b3276
13c493a935bc
1464b9636042
15362471c090
hex1e862cecba

131100110010 has 128 divisors (see below), whose sum is σ = 369653760000. Its totient is φ = 32971219776.

The previous prime is 131100109979. The next prime is 131100110039. The reversal of 131100110010 is 10011001131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131100109974 and 131100110001.

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, 1086691 + ... + 1201289.

It is an arithmetic number, because the mean of its divisors is an integer number (2887920000).

Almost surely, 2131100110010 is an apocalyptic number.

131100110010 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 131100110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184826880000).

131100110010 is an abundant number, since it is smaller than the sum of its proper divisors (238553649990).

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

131100110010 is a wasteful number, since it uses less digits than its factorization.

131100110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114857 (or 114851 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 131100110010 its reverse (10011001131), we get a palindrome (141111111141).

The spelling of 131100110010 in words is "one hundred thirty-one billion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 223 270 285 342 446 513 570 669 855 1026 1115 1338 1710 2007 2230 2565 3345 4014 4237 5130 6021 6690 8474 10035 12042 12711 20070 21185 25422 30105 38133 42370 60210 63555 76266 114399 114599 127110 190665 228798 229198 343797 381330 571995 572995 687594 1031391 1143990 1145990 1718985 2062782 2177381 3094173 3437970 4354762 5156955 6188346 6532143 10313910 10886905 13064286 15470865 19596429 21773810 25555577 30941730 32660715 39192858 51111154 58789287 65321430 76666731 97982145 117578574 127777885 153333462 195964290 230000193 255555770 293946435 383333655 460000386 485555963 587892870 690000579 766667310 971111926 1150000965 1380001158 1456667889 2300001930 2427779815 2913335778 3450002895 4370003667 4855559630 6900005790 7283339445 8740007334 13110011001 14566678890 21850018335 26220022002 43700036670 65550055005 131100110010