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102003320300100 = 223523171154480267
BaseRepresentation
bin10111001100010101111111…
…101011000010001001000100
3111101011102101202220002201120
4113030111333223002021010
5101332210244444100400
61000535402313153540
730325332236551452
oct2714257753021104
9441142352802646
10102003320300100
112a5574020a762a
12b534b156bb8b0
1344bbb4454951b
141b28db66439d2
15bbd51900eca0
hex5cc57fac2244

102003320300100 has 144 divisors (see below), whose sum is σ = 308940762525696. Its totient is φ = 25952684688000.

The previous prime is 102003320299999. The next prime is 102003320300117. The reversal of 102003320300100 is 1003023300201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102003320300100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 76579834 + ... + 77900433.

It is an arithmetic number, because the mean of its divisors is an integer number (2145421961984).

Almost surely, 2102003320300100 is an apocalyptic number.

102003320300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003320300100 is an abundant number, since it is smaller than the sum of its proper divisors (206937442225596).

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

102003320300100 is a wasteful number, since it uses less digits than its factorization.

102003320300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154480386 (or 154480379 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102003320300100 its reverse (1003023300201), we get a palindrome (103006343600301).

The spelling of 102003320300100 in words is "one hundred two trillion, three billion, three hundred twenty million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 71 75 93 100 124 142 150 155 186 213 284 300 310 355 372 426 465 620 710 775 852 930 1065 1420 1550 1775 1860 2130 2201 2325 3100 3550 4260 4402 4650 5325 6603 7100 8804 9300 10650 11005 13206 21300 22010 26412 33015 44020 55025 66030 110050 132060 165075 220100 330150 660300 154480267 308960534 463440801 617921068 772401335 926881602 1544802670 1853763204 2317204005 3089605340 3862006675 4634408010 4788888277 7724013350 9268816020 9577776554 10968098957 11586020025 14366664831 15448026700 19155553108 21936197914 23172040050 23944441385 28733329662 32904296871 43872395828 46344080100 47888882770 54840494785 57466659324 65808593742 71833324155 95777765540 109680989570 119722206925 131617187484 143666648310 164521484355 219361979140 239444413850 274202473925 287333296620 329042968710 340011067667 359166620775 478888827700 548404947850 658085937420 680022135334 718333241550 822607421775 1020033203001 1096809895700 1360044270668 1436666483100 1645214843550 1700055338335 2040066406002 3290429687100 3400110676670 4080132812004 5100166015005 6800221353340 8500276691675 10200332030010 17000553383350 20400664060020 25500830075025 34001106766700 51001660150050 102003320300100