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131343220041020 = 225137138918290533
BaseRepresentation
bin11101110111010010111001…
…111110010110010100111100
3122020001021210211111022100222
4131313102321332112110330
5114203411403312303040
61143202124201040512
736444143301523511
oct3567227176262474
9566037724438328
10131343220041020
113893938a669989
1212893242786138
1358397c68996a0
14246108d839308
15102b812a11bb5
hex7774b9f9653c

131343220041020 has 96 divisors (see below), whose sum is σ = 301995738495360. Its totient is φ = 47690001515520.

The previous prime is 131343220041013. The next prime is 131343220041041. The reversal of 131343220041020 is 20140022343131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1964327 + ... + 16326206.

It is an arithmetic number, because the mean of its divisors is an integer number (3145788942660).

Almost surely, 2131343220041020 is an apocalyptic number.

131343220041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343220041020 is an abundant number, since it is smaller than the sum of its proper divisors (170652518454340).

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

131343220041020 is a wasteful number, since it uses less digits than its factorization.

131343220041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18291015 (or 18291013 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131343220041020 its reverse (20140022343131), we get a palindrome (151483242384151).

The spelling of 131343220041020 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred twenty million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 389 710 778 923 1420 1556 1846 1945 3692 3890 4615 5057 7780 9230 10114 18460 20228 25285 27619 50570 55238 101140 110476 138095 276190 359047 552380 718094 1436188 1795235 3590470 7180940 18290533 36581066 73162132 91452665 182905330 237776929 365810660 475553858 951107716 1188884645 1298627843 2377769290 2597255686 4755538580 5194511372 6493139215 7115017337 12986278430 14230034674 16882161959 25972556860 28460069348 33764323918 35575086685 67528647836 71150173370 84410809795 92495225381 142300346740 168821619590 184990450762 337643239180 369980901524 462476126905 505166230927 924952253810 1010332461854 1849904507620 2020664923708 2525831154635 5051662309270 6567161002051 10103324618540 13134322004102 26268644008204 32835805010255 65671610020510 131343220041020