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131000041212404 = 2271315117313776757
BaseRepresentation
bin11101110010010011010010…
…111011000000100111110100
3122011211111000002222112001012
4131302103102323000213310
5114132301041022244104
61142340331011451352
736410304066565340
oct3562232273004764
9564744002875035
10131000041212404
1138816895111661
12128388288b6b58
135813335250360
14244c615c92620
151022929750d6e
hex7724d2ec09f4

131000041212404 has 96 divisors (see below), whose sum is σ = 285664273337856. Its totient is φ = 51183403891200.

The previous prime is 131000041212377. The next prime is 131000041212431. The reversal of 131000041212404 is 404212140000131.

It is an interprime number because it is at equal distance from previous prime (131000041212377) and next prime (131000041212431).

It is a super-2 number, since 2×1310000412124042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131000041212404.

It is a congruent number.

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, 2620394 + ... + 16397150.

It is an arithmetic number, because the mean of its divisors is an integer number (2975669513936).

Almost surely, 2131000041212404 is an apocalyptic number.

131000041212404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000041212404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142832136668928).

131000041212404 is an abundant number, since it is smaller than the sum of its proper divisors (154664232125452).

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

131000041212404 is a wasteful number, since it uses less digits than its factorization.

131000041212404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13777105 (or 13777103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 131000041212404 its reverse (404212140000131), we get a palindrome (535212181212535).

The spelling of 131000041212404 in words is "one hundred thirty-one trillion, forty-one million, two hundred twelve thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 151 173 182 302 346 364 604 692 1057 1211 1963 2114 2249 2422 3926 4228 4498 4844 7852 8996 13741 15743 26123 27482 31486 52246 54964 62972 104492 182861 339599 365722 679198 731444 1358396 2377193 4754386 9508772 13776757 27553514 55107028 96437299 179097841 192874598 358195682 385749196 716391364 1253684887 2080290307 2383378961 2507369774 4160580614 4766757922 5014739548 8321161228 9533515844 14562032149 16683652727 27043773991 29124064298 30983926493 33367305454 54087547982 58248128596 61967852986 66734610908 108175095964 123935705972 189306417937 216887485451 359890223111 378612835874 433774970902 719780446222 757225671748 867549941804 1439560892444 2519231561777 4678572900443 5038463123554 9357145800886 10076926247108 18714291601772 32750010303101 65500020606202 131000041212404