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131043004104330 = 23254993814976487
BaseRepresentation
bin11101110010111011010011…
…101101011011111010001010
3122011222120220021020120011200
4131302323103231123322022
5114134002033022314310
61142412154111405030
736413354542260123
oct3562732355337212
9564876807216150
10131043004104330
113883303159520a
1212845018b23776
1358173c10c39b6
14245072db6704a
151023ae13eb9c0
hex772ed3b5be8a

131043004104330 has 96 divisors (see below), whose sum is σ = 341408012400000. Its totient is φ = 34873401315456.

The previous prime is 131043004104301. The next prime is 131043004104373. The reversal of 131043004104330 is 33401400340131.

131043004104330 is a `hidden beast` number, since 1 + 3 + 10 + 4 + 300 + 4 + 10 + 4 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131043004104294 and 131043004104303.

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 47 ways as a sum of consecutive naturals, for example, 1713233347 + ... + 1713309833.

It is an arithmetic number, because the mean of its divisors is an integer number (3556333462500).

Almost surely, 2131043004104330 is an apocalyptic number.

131043004104330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131043004104330 is an abundant number, since it is smaller than the sum of its proper divisors (210365008295670).

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

131043004104330 is a wasteful number, since it uses less digits than its factorization.

131043004104330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115148 (or 115145 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131043004104330 its reverse (33401400340131), we get a palindrome (164444404444461).

The spelling of 131043004104330 in words is "one hundred thirty-one trillion, forty-three billion, four million, one hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 499 998 1497 2495 2994 4491 4990 7485 8982 14970 22455 38149 44910 76298 76487 114447 152974 190745 228894 229461 343341 381490 382435 458922 572235 686682 688383 764870 1144470 1147305 1376766 1716705 2294610 3433410 3441915 6883830 19036351 38072702 38167013 57109053 76334026 95181755 114218106 114501039 171327159 190363510 190835065 229002078 285545265 342654318 343503117 381670130 571090530 572505195 687006234 856635795 1145010390 1713271590 1717515585 2917902563 3435031170 5835805126 8753707689 14589512815 17507415378 26261123067 29179025630 43768538445 52522246134 87537076890 131305615335 262611230670 1456033378937 2912066757874 4368100136811 7280166894685 8736200273622 13104300410433 14560333789370 21840500684055 26208600820866 43681001368110 65521502052165 131043004104330