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13223020120 = 235718775309
BaseRepresentation
bin11000101000010011…
…10100011001011000
31021010112110000112221
430110021310121120
5204040043120440
610024035113424
7645451550032
oct142411643130
937115400487
1013223020120
115676060802
122690442874
131329658c7b
148d6220c52
15525d06d4a
hex314274658

13223020120 has 64 divisors (see below), whose sum is σ = 30210926400. Its totient is φ = 5207784960.

The previous prime is 13223020093. The next prime is 13223020123. The reversal of 13223020120 is 2102032231.

It is a super-2 number, since 2×132230201202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13223020094 and 13223020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223020123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2488026 + ... + 2493334.

It is an arithmetic number, because the mean of its divisors is an integer number (472045725).

Almost surely, 213223020120 is an apocalyptic number.

13223020120 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 13223020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105463200).

13223020120 is an abundant number, since it is smaller than the sum of its proper divisors (16987906280).

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

13223020120 is a wasteful number, since it uses less digits than its factorization.

13223020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13223020120 its reverse (2102032231), we get a palindrome (15325052351).

The spelling of 13223020120 in words is "thirteen billion, two hundred twenty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 877 1420 1754 2840 3508 4385 5309 7016 8770 10618 17540 21236 26545 35080 42472 53090 62267 106180 124534 212360 249068 311335 376939 498136 622670 753878 1245340 1507756 1884695 2490680 3015512 3769390 4655993 7538780 9311986 15077560 18623972 23279965 37247944 46559930 93119860 186239720 330575503 661151006 1322302012 1652877515 2644604024 3305755030 6611510060 13223020120