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130351614672141 = 321392272339196247
BaseRepresentation
bin11101101000110111011001…
…101100000011110100001101
3122002112111022011001022220200
4131220313121230003310031
5114041140101324002031
61141122412144404113
736312410346125622
oct3550673154036415
9562474264038820
10130351614672141
113859689a24a665
1212753024016639
1357971488258c5
1424290a2264349
151010b282488e6
hex768dd9b03d0d

130351614672141 has 48 divisors (see below), whose sum is σ = 190558063987200. Its totient is φ = 85858658038944.

The previous prime is 130351614672137. The next prime is 130351614672221. The reversal of 130351614672141 is 141276416153031.

130351614672141 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 1 + 614 + 6 + 7 + 21 + 4 + 1 = 666.

It is not a de Polignac number, because 130351614672141 - 22 = 130351614672137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130351614672121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664124080 + ... + 664320326.

It is an arithmetic number, because the mean of its divisors is an integer number (3969959666400).

Almost surely, 2130351614672141 is an apocalyptic number.

It is an amenable number.

130351614672141 is a deficient number, since it is larger than the sum of its proper divisors (60206449315059).

130351614672141 is a wasteful number, since it uses less digits than its factorization.

130351614672141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198958 (or 198955 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 130351614672141 in words is "one hundred thirty trillion, three hundred fifty-one billion, six hundred fourteen million, six hundred seventy-two thousand, one hundred forty-one".

Divisors: 1 3 9 139 227 417 681 1251 2043 2339 7017 21051 31553 94659 196247 283977 325121 530953 588741 975363 1592859 1766223 2926089 4778577 27278333 44548069 73802467 81834999 133644207 221407401 245504997 400932621 459021733 664222203 1377065199 4131195597 6192181591 18576544773 55729634319 63804020887 104197933391 191412062661 312593800173 574236187983 937781400519 14483512741349 43450538224047 130351614672141