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13323023120 = 24511101149899
BaseRepresentation
bin11000110100001110…
…10011001100010000
31021101111121200212202
430122013103030100
5204241143214440
610042010342332
7651104554001
oct143207231420
937344550782
1013323023120
115717554510
1226b9a2a9a8
1313442a0c44
149056131a8
1552e9ac615
hex31a1d3310

13323023120 has 80 divisors (see below), whose sum is σ = 34126833600. Its totient is φ = 4796736000.

The previous prime is 13323023107. The next prime is 13323023141. The reversal of 13323023120 is 2132032331.

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 = 13323023092 and 13323023101.

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, 13931 + ... + 163829.

It is an arithmetic number, because the mean of its divisors is an integer number (426585420).

Almost surely, 213323023120 is an apocalyptic number.

13323023120 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 13323023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063416800).

13323023120 is an abundant number, since it is smaller than the sum of its proper divisors (20803810480).

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

13323023120 is a wasteful number, since it uses less digits than its factorization.

13323023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150024 (or 150018 counting only the distinct ones).

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

Adding to 13323023120 its reverse (2132032331), we get a palindrome (15455055451).

The spelling of 13323023120 in words is "thirteen billion, three hundred twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 149899 299798 599596 749495 1199192 1498990 1648889 2398384 2997980 3297778 5995960 6595556 8244445 11991920 13191112 15139799 16488890 26382224 30279598 32977780 60559196 65955560 75698995 121118392 131911120 151397990 166537789 242236784 302795980 333075578 605591960 666151156 832688945 1211183920 1332302312 1665377890 2664604624 3330755780 6661511560 13323023120