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130973667412 = 227259103109961
BaseRepresentation
bin111100111111010100…
…0111001000001010100
3110112001210001200012211
41321332220321001110
54121213224324122
6140100220123204
712314435542600
oct1717650710124
9415053050184
10130973667412
1150600247945
1221472996504
13c4738220b3
1464a6920500
153618592877
hex1e7ea39054

130973667412 has 72 divisors (see below), whose sum is σ = 273778989120. Its totient is φ = 54643962240.

The previous prime is 130973667401. The next prime is 130973667421. The reversal of 130973667412 is 214766379031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136112 + ... + 1246072.

It is an arithmetic number, because the mean of its divisors is an integer number (3802485960).

Almost surely, 2130973667412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130973667412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136889494560).

130973667412 is an abundant number, since it is smaller than the sum of its proper divisors (142805321708).

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

130973667412 is a wasteful number, since it uses less digits than its factorization.

130973667412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110141 (or 110132 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 130973667412 in words is "one hundred thirty billion, nine hundred seventy-three million, six hundred sixty-seven thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 59 98 103 118 196 206 236 412 413 721 826 1442 1652 2884 2891 5047 5782 6077 10094 11564 12154 20188 24308 42539 85078 109961 170156 219922 297773 439844 595546 769727 1191092 1539454 3078908 5388089 6487699 10776178 11325983 12975398 21552356 22651966 25950796 45303932 45413893 79281881 90827786 158563762 181655572 317127524 317897251 554973167 635794502 668232997 1109946334 1271589004 1336465994 2219892668 2672931988 4677630979 9355261958 18710523916 32743416853 65486833706 130973667412