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1313303000100 = 2235271348106337
BaseRepresentation
bin10011000111000110111…
…101010111010000100100
311122112212100021212200120
4103013012331113100210
5133004121032000400
62443153441041540
7163611605212260
oct23070675272044
94575770255616
101313303000100
11466a72340053
1219263a6262b0
1396ac81a7630
14477c82690a0
1524266c79ca0
hex131c6f57424

1313303000100 has 144 divisors (see below), whose sum is σ = 4676705755008. Its totient is φ = 277092495360.

The previous prime is 1313303000057. The next prime is 1313303000137. The reversal of 1313303000100 is 10003033131.

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 1313303000100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24025869 + ... + 24080468.

Almost surely, 21313303000100 is an apocalyptic number.

1313303000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313303000100 is an abundant number, since it is smaller than the sum of its proper divisors (3363402754908).

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

1313303000100 is a wasteful number, since it uses less digits than its factorization.

1313303000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48106374 (or 48106367 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1313303000100 its reverse (10003033131), we get a palindrome (1323306033231).

The spelling of 1313303000100 in words is "one trillion, three hundred thirteen billion, three hundred three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 48106337 96212674 144319011 192425348 240531685 288638022 336744359 481063370 577276044 625382381 673488718 721595055 962126740 1010233077 1202658425 1250764762 1346977436 1443190110 1683721795 1876147143 2020466154 2405316850 2501529524 2886380220 3126911905 3367443590 3607975275 3752294286 4040932308 4377676667 4810633700 5051165385 6253823810 6734887180 7215950550 7504588572 8418608975 8755353334 9380735715 10102330770 12507647620 13133030001 14431901100 15634559525 16837217950 17510706668 18761471430 20204661540 21888383335 25255826925 26266060002 31269119050 33674435900 37522942860 43776766670 46903678575 50511653850 52532120004 62538238100 65665150005 87553533340 93807357150 101023307700 109441916675 131330300010 187614714300 218883833350 262660600020 328325750025 437767666700 656651500050 1313303000100