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1313200323100 = 2252791031639901
BaseRepresentation
bin10011000111000000110…
…101101011101000011100
311122112121012002100022201
4103013000311223220130
5133003413240314400
62443135332221244
7163606220400361
oct23070065535034
94575535070281
101313200323100
11466a1a390326
1219261016a824
1396aacb37503
14477b877c468
152425cc4706a
hex131c0d6ba1c

1313200323100 has 144 divisors (see below), whose sum is σ = 2931904568320. Its totient is φ = 510393312000.

The previous prime is 1313200323073. The next prime is 1313200323103. The reversal of 1313200323100 is 13230023131.

It is a super-2 number, since 2×13132003231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313200323103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132628150 + ... + 132638050.

Almost surely, 21313200323100 is an apocalyptic number.

1313200323100 is a gapful number since it is divisible by the number (10) 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 1313200323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465952284160).

1313200323100 is an abundant number, since it is smaller than the sum of its proper divisors (1618704245220).

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

1313200323100 is a wasteful number, since it uses less digits than its factorization.

1313200323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1313200323100 its reverse (13230023131), we get a palindrome (1326430346231).

The spelling of 1313200323100 in words is "one trillion, three hundred thirteen billion, two hundred million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 103 158 163 206 316 326 395 412 515 652 790 815 1030 1580 1630 1975 2060 2575 3260 3950 4075 5150 7900 8137 8150 9901 10300 12877 16274 16300 16789 19802 25754 32548 33578 39604 40685 49505 51508 64385 67156 81370 83945 99010 128770 162740 167890 198020 203425 247525 257540 321925 335780 406850 419725 495050 643850 782179 813700 839450 990100 1019803 1287700 1326331 1564358 1613863 1678900 2039606 2652662 3128716 3227726 3910895 4079212 5099015 5305324 6455452 6631655 7821790 8069315 10198030 13263310 15643580 16138630 19554475 20396060 25495075 26526620 32277260 33158275 39108950 40346575 50990150 66316550 78217900 80564437 80693150 101980300 127495177 132633100 161128874 161386300 166227889 254990354 322257748 332455778 402822185 509980708 637475885 664911556 805644370 831139445 1274951770 1611288740 1662278890 2014110925 2549903540 3187379425 3324557780 4028221850 4155697225 6374758850 8056443700 8311394450 12749517700 13132003231 16622788900 26264006462 52528012924 65660016155 131320032310 262640064620 328300080775 656600161550 1313200323100