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131012224210134 = 232196136787170711
BaseRepresentation
bin11101110010011110101001…
…000101011101010011010110
3122011212122110011102221002100
4131302132221011131103112
5114133001013344211014
61142350103535422530
736411215022424221
oct3562365105352326
9564778404387070
10131012224210134
1138820a770a3123
121283b068984a46
135814527298357
14244d04dd085b8
151022dde0bd009
hex7727a915d4d6

131012224210134 has 96 divisors (see below), whose sum is σ = 303708201788160. Its totient is φ = 40692702628800.

The previous prime is 131012224210123. The next prime is 131012224210151. The reversal of 131012224210134 is 431012422210131.

131012224210134 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 222 + 421 + 0 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131012224210098 and 131012224210107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767365039 + ... + 767535749.

It is an arithmetic number, because the mean of its divisors is an integer number (3163627101960).

Almost surely, 2131012224210134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131012224210134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151854100894080).

131012224210134 is an abundant number, since it is smaller than the sum of its proper divisors (172695977578026).

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

131012224210134 is a wasteful number, since it uses less digits than its factorization.

131012224210134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207586 (or 207583 counting only the distinct ones).

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

Adding to 131012224210134 its reverse (431012422210131), we get a palindrome (562024646420265).

The spelling of 131012224210134 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1098 1159 2318 3477 6954 10431 20862 36787 73574 110361 170711 220722 331083 341422 512133 662166 698953 1024266 1397906 1536399 2096859 2244007 3072798 3243509 4193718 4488014 6290577 6487018 6732021 9730527 10413371 12581154 13464042 19461054 20196063 20826742 29191581 31240113 40392126 42636133 58383162 62480226 85272266 93720339 127908399 187440678 197854049 255816798 383725197 395708098 593562147 767450394 1187124294 1780686441 3561372882 6279945557 12559891114 18839836671 37679673342 56519510013 113039020026 119318965583 238637931166 357956896749 383076678977 715913793498 766153357954 1073870690247 1149230036931 2147741380494 2298460073862 3447690110793 6895380221586 7278456900563 14556913801126 21835370701689 43670741403378 65506112105067 131012224210134