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131020141342104 = 23327277938485913
BaseRepresentation
bin11101110010100110000000…
…111110111010110110011000
3122011220101212220220220102100
4131302212000332322312120
5114133113222140421404
61142353453315203400
736411615146064510
oct3562460076726630
9564811786826370
10131020141342104
113882436a1105a3
12128406b82a6560
1358151b95b5821
14244d5a15a0840
151023204199d39
hex772980fbad98

131020141342104 has 96 divisors (see below), whose sum is σ = 407002571183520. Its totient is φ = 37299184086528.

The previous prime is 131020141342091. The next prime is 131020141342127. The reversal of 131020141342104 is 401243141020131.

It is a happy number.

131020141342104 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 201 + 413 + 42 + 1 + 0 + 4 = 666.

It is a congruent number.

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, 469103349 + ... + 469382564.

It is an arithmetic number, because the mean of its divisors is an integer number (4239610116495).

Almost surely, 2131020141342104 is an apocalyptic number.

131020141342104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131020141342104 is an abundant number, since it is smaller than the sum of its proper divisors (275982429841416).

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

131020141342104 is a wasteful number, since it uses less digits than its factorization.

131020141342104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938486209 (or 938486202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131020141342104 its reverse (401243141020131), we get a palindrome (532263282362235).

The spelling of 131020141342104 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty-one million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 277 504 554 831 1108 1662 1939 2216 2493 3324 3878 4986 5817 6648 7756 9972 11634 15512 17451 19944 23268 34902 46536 69804 139608 938485913 1876971826 2815457739 3753943652 5630915478 6569401391 7507887304 8446373217 11261830956 13138802782 16892746434 19708204173 22523661912 26277605564 33785492868 39416408346 52555211128 59124612519 67570985736 78832816692 118249225038 157665633384 236498450076 259960597901 472996900152 519921195802 779881793703 1039842391604 1559763587406 1819724185307 2079684783208 2339645381109 3119527174812 3639448370614 4679290762218 5459172555921 6239054349624 7278896741228 9358581524436 10918345111842 14557793482456 16377517667763 18717163048872 21836690223684 32755035335526 43673380447368 65510070671052 131020141342104