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131134142212000 = 255323261972657
BaseRepresentation
bin11101110100010000001011…
…111101101110011110100000
3122012022022010211200010111221
4131310100023331232132200
5114142000210401241000
61142522105425344424
736423062201353624
oct3564201375563640
9565268124603457
10131134142212000
113886874a689454
121285a812a98114
135822b8694a065
142454cd7c83184
15102617763a61a
hex77440bf6e7a0

131134142212000 has 144 divisors (see below), whose sum is σ = 336814207401672. Its totient is φ = 50173062297600.

The previous prime is 131134142211953. The next prime is 131134142212039. The reversal of 131134142212000 is 212241431131.

It can be written as a sum of positive squares in 4 ways, for example, as 52718229175824 + 78415913036176 = 7260732^2 + 8855276^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28870329 + ... + 33102328.

Almost surely, 2131134142212000 is an apocalyptic number.

131134142212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131134142212000 is an abundant number, since it is smaller than the sum of its proper divisors (205680065189672).

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

131134142212000 is an equidigital number, since it uses as much as digits as its factorization.

131134142212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61972728 (or 61972687 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131134142212000 its reverse (212241431131), we get a palindrome (131346383643131).

The spelling of 131134142212000 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, one hundred forty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 529 575 736 800 920 1000 1058 1150 1840 2000 2116 2300 2645 2875 3680 4000 4232 4600 5290 5750 8464 9200 10580 11500 13225 16928 18400 21160 23000 26450 42320 46000 52900 66125 84640 92000 105800 132250 211600 264500 423200 529000 1058000 2116000 61972657 123945314 247890628 309863285 495781256 619726570 991562512 1239453140 1425371111 1549316425 1983125024 2478906280 2850742222 3098632850 4957812560 5701484444 6197265700 7126855555 7746582125 9915625120 11402968888 12394531400 14253711110 15493164250 22805937776 24789062800 28507422220 30986328500 32783535553 35634277775 45611875552 49578125600 57014844440 61972657000 65567071106 71268555550 114029688880 123945314000 131134142212 142537111100 163917677765 178171388875 228059377760 247890628000 262268284424 285074222200 327835355530 356342777750 524536568848 570148444400 655670711060 712685555500 819588388825 1049073137696 1140296888800 1311341422120 1425371111000 1639176777650 2622682844240 2850742222000 3278353555300 4097941944125 5245365688480 5701484444000 6556707110600 8195883888250 13113414221200 16391767776500 26226828442400 32783535553000 65567071106000 131134142212000