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13321310000 = 24544132491
BaseRepresentation
bin11000110100000001…
…10000111100110000
31021101101101122220212
430122000300330300
5204240223410000
610041505523252
7651054160325
oct143200607460
937341348825
1013321310000
115716594409
1226b9343528
131343b2126b
149052c8b4c
1552e76ec35
hex31a030f30

13321310000 has 100 divisors (see below), whose sum is σ = 33039880104. Its totient is φ = 5198400000.

The previous prime is 13321309999. The next prime is 13321310033. The reversal of 13321310000 is 1312331.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×133213100002 (a number of 21 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 393755 + ... + 426245.

Almost surely, 213321310000 is an apocalyptic number.

13321310000 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 13321310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519940052).

13321310000 is an abundant number, since it is smaller than the sum of its proper divisors (19718570104).

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

13321310000 is an equidigital number, since it uses as much as digits as its factorization.

13321310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32560 (or 32539 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13321310000 its reverse (1312331), we get a palindrome (13322622331).

The spelling of 13321310000 in words is "thirteen billion, three hundred twenty-one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 32491 41000 51250 64982 82000 102500 129964 162455 205000 259928 324910 410000 519856 649820 812275 1299640 1332131 1624550 2599280 2664262 3249100 4061375 5328524 6498200 6660655 8122750 10657048 12996400 13321310 16245500 20306875 21314096 26642620 32491000 33303275 40613750 53285240 64982000 66606550 81227500 106570480 133213100 162455000 166516375 266426200 324910000 333032750 532852400 666065500 832581875 1332131000 1665163750 2664262000 3330327500 6660655000 13321310000