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130103110032 = 24377328318743
BaseRepresentation
bin111100100101010111…
…1111110100110010000
3110102211002221202222220
41321022233332212100
54112422344010112
6135434001101040
712254035121460
oct1711257764620
9412732852886
10130103110032
11501a38a5235
122126b327780
13c365366a9c
146423069ba0
1535b6e2e98c
hex1e4abfe990

130103110032 has 160 divisors (see below), whose sum is σ = 390772512768. Its totient is φ = 36531606528.

The previous prime is 130103109971. The next prime is 130103110037. The reversal of 130103110032 is 230011301031.

It is a junction number, because it is equal to n+sod(n) for n = 130103109993 and 130103110020.

It is not an unprimeable number, because it can be changed into a prime (130103110037) 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, 6932053 + ... + 6950795.

Almost surely, 2130103110032 is an apocalyptic number.

130103110032 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 130103110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195386256384).

130103110032 is an abundant number, since it is smaller than the sum of its proper divisors (260669402736).

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

130103110032 is a wasteful number, since it uses less digits than its factorization.

130103110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117 (or 19111 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130103110032 its reverse (230011301031), we get a palindrome (360114411063).

The spelling of 130103110032 in words is "one hundred thirty billion, one hundred three million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 283 292 336 438 511 566 584 849 876 1022 1132 1168 1533 1698 1752 1981 2044 2264 3066 3396 3504 3962 4088 4528 5943 6132 6792 7924 8176 11886 12264 13584 15848 18743 20659 23772 24528 31696 37486 41318 47544 56229 61977 74972 82636 95088 112458 123954 131201 144613 149944 165272 224916 247908 262402 289226 299888 330544 393603 433839 449832 495816 524804 578452 787206 867678 899664 991632 1049608 1156904 1368239 1574412 1735356 2099216 2313808 2736478 3148824 3470712 4104717 5304269 5472956 6297648 6941424 8209434 9577673 10608538 10945912 15912807 16418868 19155346 21217076 21891824 28733019 31825614 32837736 37129883 38310692 42434152 57466038 63651228 65675472 74259766 76621384 84868304 111389649 114932076 127302456 148519532 153242768 222779298 229864152 254604912 297039064 387211637 445558596 459728304 594078128 774423274 891117192 1161634911 1548846548 1782234384 2323269822 2710481459 3097693096 4646539644 5420962918 6195386192 8131444377 9293079288 10841925836 16262888754 18586158576 21683851672 32525777508 43367703344 65051555016 130103110032