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131011231140 = 22335298365979
BaseRepresentation
bin111101000000011100…
…0001011110110100100
3110112011101202002222000
41322000320023312210
54121302333344030
6140104041205300
712315403043046
oct1720070136644
9415141662860
10131011231140
115061a474049
1221483490830
13c47b544a5a
1464ab8dba96
15361ba12860
hex1e80e0bda4

131011231140 has 96 divisors (see below), whose sum is σ = 421645392000. Its totient is φ = 33731623296.

The previous prime is 131011231139. The next prime is 131011231151. The reversal of 131011231140 is 41132110131.

It is a happy number.

131011231140 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 2 + 311 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4167330 + ... + 4198649.

It is an arithmetic number, because the mean of its divisors is an integer number (4392139500).

Almost surely, 2131011231140 is an apocalyptic number.

131011231140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011231140 is an abundant number, since it is smaller than the sum of its proper divisors (290634160860).

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

131011231140 is a wasteful number, since it uses less digits than its factorization.

131011231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366026 (or 8366018 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131011231140 its reverse (41132110131), we get a palindrome (172143341271).

The spelling of 131011231140 in words is "one hundred thirty-one billion, eleven million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 8365979 16731958 25097937 33463916 41829895 50195874 75293811 83659790 100391748 125489685 150587622 167319580 225881433 242613391 250979370 301175244 376469055 451762866 485226782 501958740 727840173 752938110 903525732 970453564 1129407165 1213066955 1455680346 1505876220 2183520519 2258814330 2426133910 2911360692 3639200865 4367041038 4517628660 4852267820 6550561557 7278401730 8734082076 10917602595 13101123114 14556803460 21835205190 26202246228 32752807785 43670410380 65505615570 131011231140