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1313320143100 = 22527358276571
BaseRepresentation
bin10011000111000111111…
…110110000100011111100
311122112220112112211110111
4103013013332300203330
5133004134424034400
62443155252315404
7163612204012000
oct23070776604374
94575815484414
101313320143100
11466a80a89919
12192644312b64
1396acb8ca514
14477ca64c700
15242685143ba
hex131c7fb08fc

1313320143100 has 144 divisors (see below), whose sum is σ = 3324580268800. Its totient is φ = 450135403200.

The previous prime is 1313320143089. The next prime is 1313320143151. The reversal of 1313320143100 is 13410233131.

It is a super-2 number, since 2×13133201431002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 199862815 + ... + 199869385.

Almost surely, 21313320143100 is an apocalyptic number.

1313320143100 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 1313320143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662290134400).

1313320143100 is an abundant number, since it is smaller than the sum of its proper divisors (2011260125700).

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

1313320143100 is a wasteful number, since it uses less digits than its factorization.

1313320143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1313320143100 its reverse (13410233131), we get a palindrome (1326730376231).

The spelling of 1313320143100 in words is "one trillion, three hundred thirteen billion, three hundred twenty million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 5827 6571 6860 8575 11654 13142 17150 23308 26284 29135 32855 34300 40789 45997 58270 65710 81578 91994 116540 131420 145675 163156 164275 183988 203945 229985 285523 291350 321979 328550 407890 459970 571046 582700 643958 657100 815780 919940 1019725 1142092 1149925 1287916 1427615 1609895 1998661 2039450 2253853 2299850 2855230 3219790 3997322 4078900 4507706 4599700 5710460 6439580 7138075 7994644 8049475 9015412 9993305 11269265 14276150 16098950 19986610 22538530 28552300 32197900 38289217 39973220 45077060 49966525 56346325 76578434 99933050 112692650 153156868 191446085 199866100 225385300 268024519 382892170 536049038 765784340 957230425 1072098076 1340122595 1876171633 1914460850 2680245190 3752343266 3828921700 5360490380 6700612975 7504686532 9380858165 13133201431 13401225950 18761716330 26266402862 26802451900 37523432660 46904290825 52532805724 65666007155 93808581650 131332014310 187617163300 262664028620 328330035775 656660071550 1313320143100