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13220230000 = 24542945587
BaseRepresentation
bin11000100111111110…
…01011001101110000
31021010100012021020011
430103333023031300
5204033334330000
610023455224304
7645416046415
oct142377131560
937110167204
1013220230000
11567452551a
12268b518094
131328bc0003
148d5ad610c
155259552ba
hex313fcb370

13220230000 has 100 divisors (see below), whose sum is σ = 33111932040. Its totient is φ = 5105632000.

The previous prime is 13220229977. The next prime is 13220230019. The reversal of 13220230000 is 3202231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267207 + ... + 312793.

Almost surely, 213220230000 is an apocalyptic number.

13220230000 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 13220230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16555966020).

13220230000 is an abundant number, since it is smaller than the sum of its proper divisors (19891702040).

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

13220230000 is an equidigital number, since it uses as much as digits as its factorization.

13220230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45644 (or 45623 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13220230000 its reverse (3202231), we get a palindrome (13223432231).

The spelling of 13220230000 in words is "thirteen billion, two hundred twenty million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 45587 58000 72500 91174 145000 182348 227935 290000 364696 455870 729392 911740 1139675 1322023 1823480 2279350 2644046 3646960 4558700 5288092 5698375 6610115 9117400 10576184 11396750 13220230 18234800 21152368 22793500 26440460 28491875 33050575 45587000 52880920 56983750 66101150 91174000 105761840 113967500 132202300 165252875 227935000 264404600 330505750 455870000 528809200 661011500 826264375 1322023000 1652528750 2644046000 3305057500 6610115000 13220230000