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130121040142134 = 2334396738155943
BaseRepresentation
bin11101100101100000101010…
…011000000001111100110110
3122001201110011000101121001000
4131211200222120001330312
5114023400342234022014
61140424440340144130
736256635451014306
oct3545405230017466
9561643130347030
10130121040142134
1138508028a03548
12127163b5098046
13577b4910c2b72
14241bc6b701606
151009b30a0e509
hex76582a601f36

130121040142134 has 64 divisors (see below), whose sum is σ = 290247210316800. Its totient is φ = 43210572201216.

The previous prime is 130121040142043. The next prime is 130121040142139. The reversal of 130121040142134 is 431241040121031.

It is a happy number.

130121040142134 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 210 + 401 + 42 + 1 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130121040142098 and 130121040142107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121040142139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11876167 + ... + 20032109.

It is an arithmetic number, because the mean of its divisors is an integer number (4535112661200).

Almost surely, 2130121040142134 is an apocalyptic number.

130121040142134 is an abundant number, since it is smaller than the sum of its proper divisors (160126170174666).

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

130121040142134 is a wasteful number, since it uses less digits than its factorization.

130121040142134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157066 (or 8157060 counting only the distinct ones).

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

Adding to 130121040142134 its reverse (431241040121031), we get a palindrome (561362080263165).

The spelling of 130121040142134 in words is "one hundred thirty trillion, one hundred twenty-one billion, forty million, one hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 439 673 878 1317 1346 2019 2634 3951 4038 6057 7902 11853 12114 18171 23706 36342 295447 590894 886341 1772682 2659023 5318046 7977069 8155943 15954138 16311886 24467829 48935658 73403487 146806974 220210461 440420922 3580458977 5488949639 7160917954 10741376931 10977899278 16466848917 21482753862 32224130793 32933697834 49400546751 64448261586 96672392379 98801093502 148201640253 193344784758 296403280506 2409648891521 4819297783042 7228946674563 14457893349126 21686840023689 43373680047378 65060520071067 130121040142134