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13322303120 = 2457227104801
BaseRepresentation
bin11000110100001001…
…00011011010010000
31021101110021010020002
430122010203122100
5204241002144440
610041543105132
7651065464610
oct143204433220
937343233202
1013322303120
115717102575
1226b97421a8
1313440ab2c9
149054a6a40
1552e8b9115
hex31a123690

13322303120 has 80 divisors (see below), whose sum is σ = 35555545728. Its totient is φ = 4547481600.

The previous prime is 13322303051. The next prime is 13322303149. The reversal of 13322303120 is 2130322331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13322303092 and 13322303101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74720 + ... + 179520.

Almost surely, 213322303120 is an apocalyptic number.

13322303120 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 13322303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777772864).

13322303120 is an abundant number, since it is smaller than the sum of its proper divisors (22233242608).

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

13322303120 is a wasteful number, since it uses less digits than its factorization.

13322303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105048 (or 105042 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13322303120 its reverse (2130322331), we get a palindrome (15452625451).

The spelling of 13322303120 in words is "thirteen billion, three hundred twenty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 227 280 454 560 908 1135 1589 1816 2270 3178 3632 4540 6356 7945 9080 12712 15890 18160 25424 31780 63560 104801 127120 209602 419204 524005 733607 838408 1048010 1467214 1676816 2096020 2934428 3668035 4192040 5868856 7336070 8384080 11737712 14672140 23789827 29344280 47579654 58688560 95159308 118949135 166528789 190318616 237898270 333057578 380637232 475796540 666115156 832643945 951593080 1332230312 1665287890 1903186160 2664460624 3330575780 6661151560 13322303120