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130303656614600 = 23527401232104839
BaseRepresentation
bin11101101000001010101111…
…001010100101101011001000
3122002100220111212111120202022
4131220022233022211223020
5114034343342043131400
61141044401245024012
736306062040303110
oct3550125712455310
9562326455446668
10130303656614600
113857851a171167
121274587ab55008
135792774b26c71
142426a32bca040
15100e76cc9db85
hex7682af2a5ac8

130303656614600 has 96 divisors (see below), whose sum is σ = 347098861929600. Its totient is φ = 44564128896000.

The previous prime is 130303656614587. The next prime is 130303656614603. The reversal of 130303656614600 is 6416656303031.

It is a super-3 number, since 3×1303036566146003 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130303656614603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115491020 + ... + 116613819.

It is an arithmetic number, because the mean of its divisors is an integer number (3615613145100).

Almost surely, 2130303656614600 is an apocalyptic number.

130303656614600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130303656614600 is an abundant number, since it is smaller than the sum of its proper divisors (216795205315000).

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

130303656614600 is a wasteful number, since it uses less digits than its factorization.

130303656614600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232105263 (or 232105254 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 44.

The spelling of 130303656614600 in words is "one hundred thirty trillion, three hundred three billion, six hundred fifty-six million, six hundred fourteen thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 401 700 802 1400 1604 2005 2807 3208 4010 5614 8020 10025 11228 14035 16040 20050 22456 28070 40100 56140 70175 80200 112280 140350 280700 561400 232104839 464209678 928419356 1160524195 1624733873 1856838712 2321048390 3249467746 4642096780 5802620975 6498935492 8123669365 9284193560 11605241950 12997870984 16247338730 23210483900 32494677460 40618346825 46420967800 64989354920 81236693650 93074040439 162473387300 186148080878 324946774600 372296161756 465370202195 651518283073 744592323512 930740404390 1303036566146 1861480808780 2326851010975 2606073132292 3257591415365 3722961617560 4653702021950 5212146264584 6515182830730 9307404043900 13030365661460 16287957076825 18614808087800 26060731322920 32575914153650 65151828307300 130303656614600