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131403300333000 = 23353231904395657
BaseRepresentation
bin11101111000001010110111…
…000010011110010111001000
3122020021000212221011101000020
4131320022313002132113020
5114210402424341124000
61143245502014140440
736451401164551563
oct3570126702362710
9566230787141006
10131403300333000
11389619103a7553
12128a2a0b4b1720
13584237cb59b07
142463d4cc2d4da
15102d17c324ba0
hex7782b709e5c8

131403300333000 has 128 divisors (see below), whose sum is σ = 427803440613120. Its totient is φ = 33517363545600.

The previous prime is 131403300332959. The next prime is 131403300333047. The reversal of 131403300333000 is 333003304131.

131403300333000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952128829 + ... + 952266828.

It is an arithmetic number, because the mean of its divisors is an integer number (3342214379790).

Almost surely, 2131403300333000 is an apocalyptic number.

131403300333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403300333000 is an abundant number, since it is smaller than the sum of its proper divisors (296400140280120).

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

131403300333000 is a wasteful number, since it uses less digits than its factorization.

131403300333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904395704 (or 1904395690 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 131403300333000 its reverse (333003304131), we get a palindrome (131736303637131).

The spelling of 131403300333000 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred million, three hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 1904395657 3808791314 5713186971 7617582628 9521978285 11426373942 15235165256 19043956570 22852747884 28565934855 38087913140 43801100111 45705495768 47609891425 57131869710 76175826280 87602200222 95219782850 114263739420 131403300333 142829674275 175204400444 190439565700 219005500555 228527478840 238049457125 262806600666 285659348550 350408800888 380879131400 438011001110 476098914250 525613201332 571318697100 657016501665 714148371375 876022002220 952197828500 1051226402664 1095027502775 1142637394200 1314033003330 1428296742750 1752044004440 1904395657000 2190055005550 2628066006660 2856593485500 3285082508325 4380110011100 5256132013320 5475137513875 5713186971000 6570165016650 8760220022200 10950275027750 13140330033300 16425412541625 21900550055500 26280660066600 32850825083250 43801100111000 65701650166500 131403300333000