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13223211000 = 233539974421
BaseRepresentation
bin11000101000010101…
…00010111111111000
31021010112210201101120
430110022202333320
5204040120223000
610024043145240
7645453303366
oct142412427770
937115721346
1013223211000
11567618115a
122690515220
1313296c4b0c
148d6270636
15525d436a0
hex3142a2ff8

13223211000 has 128 divisors (see below), whose sum is σ = 41307140160. Its totient is φ = 3521856000.

The previous prime is 13223210993. The next prime is 13223211019. The reversal of 13223211000 is 11232231.

13223211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2988790 + ... + 2993210.

Almost surely, 213223211000 is an apocalyptic number.

13223211000 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 13223211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653570080).

13223211000 is an abundant number, since it is smaller than the sum of its proper divisors (28083929160).

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

13223211000 is a wasteful number, since it uses less digits than its factorization.

13223211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13223211000 its reverse (11232231), we get a palindrome (13234443231).

The spelling of 13223211000 in words is "thirteen billion, two hundred twenty-three million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 997 1000 1500 1994 2991 3000 3988 4421 4985 5982 7976 8842 9970 11964 13263 14955 17684 19940 22105 23928 24925 26526 29910 35368 39880 44210 49850 53052 59820 66315 74775 88420 99700 106104 110525 119640 124625 132630 149550 176840 199400 221050 249250 265260 299100 331575 373875 442100 498500 530520 552625 598200 663150 747750 884200 997000 1105250 1326300 1495500 1657875 2210500 2652600 2991000 3315750 4407737 4421000 6631500 8815474 13223211 13263000 17630948 22038685 26446422 35261896 44077370 52892844 66116055 88154740 105785688 110193425 132232110 176309480 220386850 264464220 330580275 440773700 528928440 550967125 661160550 881547400 1101934250 1322321100 1652901375 2203868500 2644642200 3305802750 4407737000 6611605500 13223211000