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131503103440 = 24559892291367
BaseRepresentation
bin111101001111000110…
…0100001110111010000
3110120102200021210220121
41322132030201313100
54123304243302230
6140224531520024
712333524636062
oct1723614416720
9416380253817
10131503103440
1150852089a85
12215a0159014
13c529412557
146516d79732
153649cc277a
hex1e9e321dd0

131503103440 has 160 divisors (see below), whose sum is σ = 316024416000. Its totient is φ = 50868178944.

The previous prime is 131503103419. The next prime is 131503103467. The reversal of 131503103440 is 44301305131.

131503103440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96197637 + ... + 96199003.

It is an arithmetic number, because the mean of its divisors is an integer number (1975152600).

Almost surely, 2131503103440 is an apocalyptic number.

131503103440 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 131503103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158012208000).

131503103440 is an abundant number, since it is smaller than the sum of its proper divisors (184521312560).

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

131503103440 is a wasteful number, since it uses less digits than its factorization.

131503103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 131503103440 its reverse (44301305131), we get a palindrome (175804408571).

The spelling of 131503103440 in words is "one hundred thirty-one billion, five hundred three million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 89 118 178 229 236 295 356 445 458 472 590 712 890 916 944 1145 1180 1367 1424 1780 1832 2290 2360 2734 3560 3664 4580 4720 5251 5468 6835 7120 9160 10502 10936 13511 13670 18320 20381 21004 21872 26255 27022 27340 40762 42008 52510 54044 54680 67555 80653 81524 84016 101905 105020 108088 109360 121663 135110 161306 163048 203810 210040 216176 243326 270220 313043 322612 326096 403265 407620 420080 486652 540440 608315 626086 645224 806530 815240 973304 1080880 1202479 1216630 1252172 1290448 1565215 1613060 1630480 1946608 2404958 2433260 2504344 3130430 3226120 4809916 4866520 5008688 6012395 6260860 6452240 7178117 9619832 9733040 12024790 12521720 14356234 18469537 19239664 24049580 25043440 27860827 28712468 35890585 36939074 48099160 55721654 57424936 71781170 73878148 92347685 96198320 111443308 114849872 139304135 143562340 147756296 184695370 222886616 278608270 287124680 295512592 369390740 445773232 557216540 574249360 738781480 1114433080 1477562960 1643788793 2228866160 3287577586 6575155172 8218943965 13150310344 16437887930 26300620688 32875775860 65751551720 131503103440