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103313130321000 = 2335389386940563
BaseRepresentation
bin10111011111011001110110…
…011011101111010001101000
3111112210122020200112020202010
4113133121312123233101220
5102020140242330233000
61003421221415435520
730522061452205155
oct2737316633572150
9445718220466663
10103313130321000
112aa11941775706
12b70693a385ba0
134585503b75052
141b7254ca1b22c
15be26292b7d50
hex5df6766ef468

103313130321000 has 128 divisors (see below), whose sum is σ = 325958731113600. Its totient is φ = 27240615564800.

The previous prime is 103313130320999. The next prime is 103313130321017. The reversal of 103313130321000 is 123031313301.

103313130321000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193203282 + ... + 193737281.

It is an arithmetic number, because the mean of its divisors is an integer number (2546552586825).

Almost surely, 2103313130321000 is an apocalyptic number.

103313130321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313130321000 is an abundant number, since it is smaller than the sum of its proper divisors (222645600792600).

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

103313130321000 is a wasteful number, since it uses less digits than its factorization.

103313130321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386940676 (or 386940662 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103313130321000 its reverse (123031313301), we get a palindrome (103436161634301).

The spelling of 103313130321000 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 712 750 890 1000 1068 1335 1500 1780 2136 2225 2670 3000 3560 4450 5340 6675 8900 10680 11125 13350 17800 22250 26700 33375 44500 53400 66750 89000 133500 267000 386940563 773881126 1160821689 1547762252 1934702815 2321643378 3095524504 3869405630 4643286756 5804108445 7738811260 9286573512 9673514075 11608216890 15477622520 19347028150 23216433780 29020542225 34437710107 38694056300 46432867560 48367570375 58041084450 68875420214 77388112600 96735140750 103313130321 116082168900 137750840428 145102711125 172188550535 193470281500 206626260642 232164337800 275501680856 290205422250 344377101070 386940563000 413252521284 516565651605 580410844500 688754202140 826505042568 860942752675 1033131303210 1160821689000 1377508404280 1721885505350 2066262606420 2582828258025 3443771010700 4132525212840 4304713763375 5165656516050 6887542021400 8609427526750 10331313032100 12914141290125 17218855053500 20662626064200 25828282580250 34437710107000 51656565160500 103313130321000