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130343121342320 = 2455958794697239
BaseRepresentation
bin11101101000101111011111…
…011100100100111101110000
3122002111200101020100110201112
4131220233133130210331300
5114041020203030423240
61141114445303052452
736311660025042245
oct3550573734447560
9562450336313645
10130343121342320
1138593230a61217
1212751453741128
1357963c4024763
1424288d825d5cc
1510107cc7a1665
hex768bdf724f70

130343121342320 has 80 divisors (see below), whose sum is σ = 308236646592000. Its totient is φ = 51244837373184.

The previous prime is 130343121342293. The next prime is 130343121342389. The reversal of 130343121342320 is 23243121343031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25400261 + ... + 30097499.

It is an arithmetic number, because the mean of its divisors is an integer number (3852958082400).

Almost surely, 2130343121342320 is an apocalyptic number.

130343121342320 is a gapful number since it is divisible by the number (10) 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 130343121342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154118323296000).

130343121342320 is an abundant number, since it is smaller than the sum of its proper divisors (177893525249680).

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

130343121342320 is a wasteful number, since it uses less digits than its factorization.

130343121342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703190 (or 4703184 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 130343121342320 its reverse (23243121343031), we get a palindrome (153586242685351).

The spelling of 130343121342320 in words is "one hundred thirty trillion, three hundred forty-three billion, one hundred twenty-one million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 5879 11758 23516 29395 47032 58790 94064 117580 235160 346861 470320 693722 1387444 1734305 2774888 3468610 4697239 5549776 6937220 9394478 13874440 18788956 23486195 27748880 37577912 46972390 75155824 93944780 187889560 277137101 375779120 554274202 1108548404 1385685505 2217096808 2771371010 4434193616 5542742020 11085484040 22170968080 27615068081 55230136162 110460272324 138075340405 220920544648 276150680810 441841089296 552301361620 1104602723240 1629289016779 2209205446480 3258578033558 6517156067116 8146445083895 13034312134232 16292890167790 26068624268464 32585780335580 65171560671160 130343121342320