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13003322000 = 2453311311601
BaseRepresentation
bin11000001110000111…
…01111001010010000
31020120020001012101112
430013003233022100
5203112322301000
65550150152452
7640143261524
oct140703571220
936506035345
1013003322000
115573044309
12262a952728
1312c2c95a96
148b4d91d84
155118ab235
hex3070ef290

13003322000 has 160 divisors (see below), whose sum is σ = 32724476928. Its totient is φ = 4992000000.

The previous prime is 13003321997. The next prime is 13003322009. The reversal of 13003322000 is 22330031.

It is not an unprimeable number, because it can be changed into a prime (13003322009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8121200 + ... + 8122800.

Almost surely, 213003322000 is an apocalyptic number.

13003322000 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 13003322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362238464).

13003322000 is an abundant number, since it is smaller than the sum of its proper divisors (19721154928).

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

13003322000 is a wasteful number, since it uses less digits than its factorization.

13003322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 13003322000 its reverse (22330031), we get a palindrome (13025652031).

The spelling of 13003322000 in words is "thirteen billion, three million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 131 155 200 248 250 262 310 400 496 500 524 620 655 775 1000 1048 1240 1310 1550 1601 2000 2096 2480 2620 3100 3202 3275 3875 4061 5240 6200 6404 6550 7750 8005 8122 10480 12400 12808 13100 15500 16010 16244 16375 20305 25616 26200 31000 32020 32488 32750 40025 40610 49631 52400 62000 64040 64976 65500 80050 81220 99262 101525 128080 131000 160100 162440 198524 200125 203050 209731 248155 262000 320200 324880 397048 400250 406100 419462 496310 507625 640400 794096 800500 812200 838924 992620 1015250 1048655 1240775 1601000 1624400 1677848 1985240 2030500 2097310 2481550 3202000 3355696 3970480 4061000 4194620 4963100 5243275 6203875 6501661 8122000 8389240 9926200 10486550 12407750 13003322 16778480 19852400 20973100 24815500 26006644 26216375 32508305 41946200 49631000 52013288 52432750 65016610 83892400 99262000 104026576 104865500 130033220 162541525 209731000 260066440 325083050 419462000 520132880 650166100 812707625 1300332200 1625415250 2600664400 3250830500 6501661000 13003322000