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130259057712 = 243711313126189
BaseRepresentation
bin111100101010000001…
…0110111110000110000
3110110012222101201222220
41321110002313300300
54113232304321322
6135501251401040
712260640502440
oct1712402676060
9413188351886
10130259057712
115027392a013
12212b35b3180
13c38b768c14
146439a62120
1535c598655c
hex1e540b7c30

130259057712 has 160 divisors (see below), whose sum is σ = 390954263040. Its totient is φ = 36604538880.

The previous prime is 130259057689. The next prime is 130259057723. The reversal of 130259057712 is 217750952031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4960714 + ... + 4986902.

It is an arithmetic number, because the mean of its divisors is an integer number (2443464144).

Almost surely, 2130259057712 is an apocalyptic number.

130259057712 is a gapful number since it is divisible by the number (12) 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 130259057712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195477131520).

130259057712 is an abundant number, since it is smaller than the sum of its proper divisors (260695205328).

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

130259057712 is a wasteful number, since it uses less digits than its factorization.

130259057712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26451 (or 26445 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 130259057712 in words is "one hundred thirty billion, two hundred fifty-nine million, fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 131 168 226 262 336 339 393 452 524 678 786 791 904 917 1048 1356 1572 1582 1808 1834 2096 2373 2712 2751 3144 3164 3668 4746 5424 5502 6288 6328 7336 9492 11004 12656 14672 14803 18984 22008 26189 29606 37968 44016 44409 52378 59212 78567 88818 103621 104756 118424 157134 177636 183323 207242 209512 236848 310863 314268 355272 366646 414484 419024 549969 621726 628536 710544 733292 828968 1099938 1243452 1257072 1466584 1657936 2199876 2486904 2933168 2959357 3430759 4399752 4973808 5918714 6861518 8799504 8878071 10292277 11837428 13723036 17756142 20584554 20715499 23674856 24015313 27446072 35512284 41169108 41430998 47349712 48030626 54892144 62146497 71024568 72045939 82338216 82861996 96061252 124292994 142049136 144091878 164676432 165723992 192122504 248585988 288183756 331447984 384245008 387675767 497171976 576367512 775351534 994343952 1152735024 1163027301 1550703068 2326054602 2713730369 3101406136 4652109204 5427460738 6202812272 8141191107 9304218408 10854921476 16282382214 18608436816 21709842952 32564764428 43419685904 65129528856 130259057712