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13321031000 = 235364320717
BaseRepresentation
bin11000110011111111…
…01100110101011000
31021101100212111012112
430121333230311120
5204240140443000
610041455531452
7651051616034
oct143177546530
937340774175
1013321031000
115716413832
1226b9229b88
131343a54284
149052551c4
1552e717235
hex319fecd58

13321031000 has 64 divisors (see below), whose sum is σ = 31221197280. Its totient is φ = 5319868800.

The previous prime is 13321030991. The next prime is 13321031027. The reversal of 13321031000 is 13012331.

It is a super-2 number, since 2×133210310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 632642 + ... + 653358.

Almost surely, 213321031000 is an apocalyptic number.

13321031000 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 13321031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610598640).

13321031000 is an abundant number, since it is smaller than the sum of its proper divisors (17900166280).

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

13321031000 is a wasteful number, since it uses less digits than its factorization.

13321031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21381 (or 21367 counting only the distinct ones).

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

Adding to 13321031000 its reverse (13012331), we get a palindrome (13334043331).

The spelling of 13321031000 in words is "thirteen billion, three hundred twenty-one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 643 1000 1286 2572 3215 5144 6430 12860 16075 20717 25720 32150 41434 64300 80375 82868 103585 128600 160750 165736 207170 321500 414340 517925 643000 828680 1035850 2071700 2589625 4143400 5179250 10358500 13321031 20717000 26642062 53284124 66605155 106568248 133210310 266420620 333025775 532841240 666051550 1332103100 1665128875 2664206200 3330257750 6660515500 13321031000