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1313212203300 = 2235266110516301
BaseRepresentation
bin10011000111000001100…
…011000000000100100100
311122112122000102220220010
4103013001203000010210
5133003424311001200
62443140435010220
7163606423360464
oct23070143000444
94575560386803
101313212203300
11466a26065078
12192614139970
1396ab2436b0a
14477ba191ba4
152425dce2150
hex131c18c0124

1313212203300 has 144 divisors (see below), whose sum is σ = 3809533993664. Its totient is φ = 349272000000.

The previous prime is 1313212203241. The next prime is 1313212203343. The reversal of 1313212203300 is 33022123131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208410150 + ... + 208416450.

Almost surely, 21313212203300 is an apocalyptic number.

1313212203300 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 1313212203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904766996832).

1313212203300 is an abundant number, since it is smaller than the sum of its proper divisors (2496321790364).

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

1313212203300 is a wasteful number, since it uses less digits than its factorization.

1313212203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1313212203300 its reverse (33022123131), we get a palindrome (1346234326431).

The spelling of 1313212203300 in words is "one trillion, three hundred thirteen billion, two hundred twelve million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 661 1051 1322 1983 2102 2644 3153 3305 3966 4204 5255 6301 6306 6610 7932 9915 10510 12602 12612 13220 15765 16525 18903 19830 21020 25204 26275 31505 31530 33050 37806 39660 49575 52550 63010 63060 66100 75612 78825 94515 99150 105100 126020 157525 157650 189030 198300 315050 315300 378060 472575 630100 694711 945150 1389422 1890300 2084133 2778844 3473555 4164961 4168266 6622351 6947110 8329922 8336532 10420665 12494883 13244702 13894220 16659844 17367775 19867053 20824805 20841330 24989766 26489404 33111755 34735550 39734106 41649610 41682660 49979532 52103325 62474415 66223510 69471100 79468212 83299220 99335265 104124025 104206650 124948830 132447020 165558775 198670530 208248050 208413300 249897660 312372075 331117550 397341060 416496100 496676325 624744150 662235100 993352650 1249488300 1986705300 4377374011 8754748022 13132122033 17509496044 21886870055 26264244066 43773740110 52528488132 65660610165 87547480220 109434350275 131321220330 218868700550 262642440660 328303050825 437737401100 656606101650 1313212203300