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130130304240 = 243519713811993
BaseRepresentation
bin111100100110001011…
…1101101110011110000
3110102220000010101102210
41321030113231303300
54113001324213430
6135440412012120
712254515223046
oct1711427556360
9412800111383
10130130304240
1150208189692
1221278461040
13c36ab98931
146426908396
1535b95022b0
hex1e4c5edcf0

130130304240 has 160 divisors (see below), whose sum is σ = 405948856896. Its totient is φ = 34482954240.

The previous prime is 130130304229. The next prime is 130130304257. The reversal of 130130304240 is 42403031031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65292684 + ... + 65294676.

Almost surely, 2130130304240 is an apocalyptic number.

130130304240 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 130130304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202974428448).

130130304240 is an abundant number, since it is smaller than the sum of its proper divisors (275818552656).

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

130130304240 is a wasteful number, since it uses less digits than its factorization.

130130304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 130130304240 its reverse (42403031031), we get a palindrome (172533335271).

The spelling of 130130304240 in words is "one hundred thirty billion, one hundred thirty million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1381 1576 1970 1993 2364 2762 2955 3152 3940 3986 4143 4728 5524 5910 5979 6905 7880 7972 8286 9456 9965 11048 11820 11958 13810 15760 15944 16572 19930 20715 22096 23640 23916 27620 29895 31888 33144 39860 41430 47280 47832 55240 59790 66288 79720 82860 95664 110480 119580 159440 165720 239160 272057 331440 392621 478320 544114 785242 816171 1088228 1177863 1360285 1570484 1632342 1963105 2176456 2355726 2720570 2752333 3140968 3264684 3926210 4080855 4352912 4711452 5441140 5504666 5889315 6281936 6529368 7852420 8161710 8256999 9422904 10882280 11009332 11778630 13058736 13761665 15704840 16323420 16513998 18845808 21764560 22018664 23557260 27523330 31409680 32646840 33027996 41284995 44037328 47114520 55046660 65293680 66055992 82569990 94229040 110093320 132111984 165139980 220186640 330279960 542209601 660559920 1084419202 1626628803 2168838404 2711048005 3253257606 4337676808 5422096010 6506515212 8133144015 8675353616 10844192020 13013030424 16266288030 21688384040 26026060848 32532576060 43376768080 65065152120 130130304240