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13322001020000 = 2554937171081
BaseRepresentation
bin1100000111011100010100…
…1000110111010001100000
31202011120102011020011200012
43001313011020313101200
53221231424230120000
644200013123544052
72543324414201351
oct301670510672140
952146364204605
1013322001020000
1142769132a9a52
1215b1a8722b028
1375834a90534a
14340b070d1d28
151818085c6735
hexc1dc5237460

13322001020000 has 120 divisors (see below), whose sum is σ = 32778079338312. Its totient is φ = 5328156800000.

The previous prime is 13322001019967. The next prime is 13322001020063. The reversal of 13322001020000 is 2010022331.

It is a happy number.

It is a super-2 number, since 2×133220010200002 (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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187384460 + ... + 187455540.

Almost surely, 213322001020000 is an apocalyptic number.

13322001020000 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 13322001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389039669156).

13322001020000 is an abundant number, since it is smaller than the sum of its proper divisors (19456078318312).

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

13322001020000 is an frugal number, since it uses more digits than its factorization.

13322001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80482 (or 80459 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13322001020000 its reverse (2010022331), we get a palindrome (13324011042331).

The spelling of 13322001020000 in words is "thirteen trillion, three hundred twenty-two billion, one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 9371 10000 18742 20000 37484 46855 71081 74968 93710 142162 149936 187420 234275 284324 299872 355405 374840 468550 568648 710810 749680 937100 1137296 1171375 1421620 1499360 1777025 1874200 2274592 2342750 2843240 3554050 3748400 4685500 5686480 5856875 7108100 7496800 8885125 9371000 11372960 11713750 14216200 17770250 18742000 23427500 28432400 35540500 37484000 44425625 46855000 56864800 71081000 88851250 93710000 142162000 177702500 187420000 284324000 355405000 666100051 710810000 1332200102 1421620000 2664400204 3330500255 5328800408 6661000510 10657600816 13322001020 16652501275 21315201632 26644002040 33305002550 53288004080 66610005100 83262506375 106576008160 133220010200 166525012750 266440020400 333050025500 416312531875 532880040800 666100051000 832625063750 1332200102000 1665250127500 2664400204000 3330500255000 6661000510000 13322001020000