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13312003332000 = 253531109333611
BaseRepresentation
bin1100000110110111000100…
…1110101101011110100000
31202010121121101211000000110
43001231301032231132200
53221100440323111000
644151241102451320
72542521565226052
oct301556116553640
952117541730013
1013312003332000
114272652923a8a
1215abb56b93b40
13757416547329
143404393b18d2
15181420a23850
hexc1b713ad7a0

13312003332000 has 96 divisors (see below), whose sum is σ = 43610122954944. Its totient is φ = 3549867552000.

The previous prime is 13312003331987. The next prime is 13312003332029. The reversal of 13312003332000 is 23330021331.

13312003332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×133120033320002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554654806 + ... + 554678805.

It is an arithmetic number, because the mean of its divisors is an integer number (454272114114).

Almost surely, 213312003332000 is an apocalyptic number.

13312003332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312003332000 is an abundant number, since it is smaller than the sum of its proper divisors (30298119622944).

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

13312003332000 is a wasteful number, since it uses less digits than its factorization.

13312003332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109333639 (or 1109333621 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13312003332000 its reverse (23330021331), we get a palindrome (13335333353331).

The spelling of 13312003332000 in words is "thirteen trillion, three hundred twelve billion, three million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1109333611 2218667222 3328000833 4437334444 5546668055 6656001666 8874668888 11093336110 13312003332 16640004165 17749337776 22186672220 26624006664 27733340275 33280008330 35498675552 44373344440 53248013328 55466680550 66560016660 83200020825 88746688880 106496026656 110933361100 133120033320 138666701375 166400041650 177493377760 221866722200 266240066640 277333402750 332800083300 416000104125 443733444400 532480133280 554666805500 665600166600 832000208250 887466888800 1109333611000 1331200333200 1664000416500 2218667222000 2662400666400 3328000833000 4437334444000 6656001666000 13312003332000