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13220112000 = 27353275419
BaseRepresentation
bin11000100111111101…
…01110011010000000
31021010022222021100210
430103332232122000
5204033322041000
610023452514120
7645415045404
oct142376563200
937108867323
1013220112000
1156744548a7
12268b47b940
131328b7b3a4
148d5aa5104
15525930350
hex313fae680

13220112000 has 128 divisors (see below), whose sum is σ = 43824830400. Its totient is φ = 3525350400.

The previous prime is 13220111981. The next prime is 13220112023. The reversal of 13220112000 is 21102231.

13220112000 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 (128).

It is a super-2 number, since 2×132201120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 89710 + ... + 185709.

Almost surely, 213220112000 is an apocalyptic number.

13220112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220112000 is an abundant number, since it is smaller than the sum of its proper divisors (30604718400).

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

13220112000 is an equidigital number, since it uses as much as digits as its factorization.

13220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275451 (or 275429 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13220112000 its reverse (21102231), we get a palindrome (13241214231).

The spelling of 13220112000 in words is "thirteen billion, two hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 275419 550838 826257 1101676 1377095 1652514 2203352 2754190 3305028 4131285 4406704 5508380 6610056 6885475 8262570 8813408 11016760 13220112 13770950 16525140 17626816 20656425 22033520 26440224 27541900 33050280 34427375 35253632 41312850 44067040 52880448 55083800 66100560 68854750 82625700 88134080 103282125 105760896 110167600 132201120 137709500 165251400 176268160 206564250 220335200 264402240 275419000 330502800 413128500 440670400 528804480 550838000 661005600 826257000 881340800 1101676000 1322011200 1652514000 2203352000 2644022400 3305028000 4406704000 6610056000 13220112000