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13300123132000 = 255325127132329
BaseRepresentation
bin1100000110001010110100…
…0111010110000001100000
31202002110221110010022101001
43001202231013112001200
53220402123010211000
644141554152521344
72541621310211335
oct301425507260140
952073843108331
1013300123132000
114268606857981
1215a97a03b0254
137562721696a3
1433da2d65a98c
15180e77a6946a
hexc18ad1d6060

13300123132000 has 96 divisors (see below), whose sum is σ = 32679950022720. Its totient is φ = 5319797324800.

The previous prime is 13300123131979. The next prime is 13300123132019. The reversal of 13300123132000 is 23132100331.

It is a super-2 number, since 2×133001231320002 (a number of 27 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100441836 + ... + 100574164.

It is an arithmetic number, because the mean of its divisors is an integer number (340416146070).

Almost surely, 213300123132000 is an apocalyptic number.

13300123132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300123132000 is an abundant number, since it is smaller than the sum of its proper divisors (19379826890720).

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

13300123132000 is a wasteful number, since it uses less digits than its factorization.

13300123132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157481 (or 157463 counting only the distinct ones).

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

Adding to 13300123132000 its reverse (23132100331), we get a palindrome (13323255232331).

The spelling of 13300123132000 in words is "thirteen trillion, three hundred billion, one hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 25127 50254 100508 125635 132329 201016 251270 264658 402032 502540 529316 628175 661645 804064 1005080 1058632 1256350 1323290 2010160 2117264 2512700 2646580 3140875 3308225 4020320 4234528 5025400 5293160 6281750 6616450 10050800 10586320 12563500 13232900 16541125 20101600 21172640 25127000 26465800 33082250 50254000 52931600 66164500 100508000 105863200 132329000 264658000 529316000 3325030783 6650061566 13300123132 16625153915 26600246264 33250307830 53200492528 66500615660 83125769575 106400985056 133001231320 166251539150 266002462640 332503078300 415628847875 532004925280 665006156600 831257695750 1330012313200 1662515391500 2660024626400 3325030783000 6650061566000 13300123132000