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1305043004104 = 237283254315773
BaseRepresentation
bin10010111111011010100…
…111111110101011001000
311121202112200122121022221
4102333122213332223020
5132340212002112404
62435310052423424
7163200116335300
oct22773247765310
94552480577287
101305043004104
11463513831884
12190b14317b74
13960acb32038
1447243242600
1523e31a23954
hex12fda9feac8

1305043004104 has 96 divisors (see below), whose sum is σ = 2882068801920. Its totient is φ = 552313233024.

The previous prime is 1305043004101. The next prime is 1305043004107. The reversal of 1305043004104 is 4014003405031.

It is an interprime number because it is at equal distance from previous prime (1305043004101) and next prime (1305043004107).

It is not an unprimeable number, because it can be changed into a prime (1305043004101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82731162 + ... + 82746934.

It is an arithmetic number, because the mean of its divisors is an integer number (30021550020).

Almost surely, 21305043004104 is an apocalyptic number.

1305043004104 is a gapful number since it is divisible by the number (14) 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 1305043004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441034400960).

1305043004104 is an abundant number, since it is smaller than the sum of its proper divisors (1577025797816).

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

1305043004104 is a wasteful number, since it uses less digits than its factorization.

1305043004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18419 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1305043004104 its reverse (4014003405031), we get a palindrome (5319046409135).

The spelling of 1305043004104 in words is "one trillion, three hundred five billion, forty-three million, four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 166 196 332 392 581 664 1162 2324 2543 4067 4648 5086 8134 10172 15773 16268 17801 20344 31546 32536 35602 63092 71204 110411 124607 126184 142408 211069 220822 249214 422138 441644 498428 772877 844276 883288 996856 1309159 1477483 1545754 1688552 2618318 2954966 3091508 5236636 5909932 6183016 9164113 10342381 10473272 11819864 18328226 20684762 36656452 40110739 41369524 64148791 73312904 80221478 82739048 128297582 160442956 256595164 280775173 320885912 513190328 561550346 1123100692 1965426211 2246201384 3329191337 3930852422 6658382674 7861704844 13316765348 15723409688 23304339359 26633530696 46608678718 93217357436 163130375513 186434714872 326260751026 652521502052 1305043004104