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13223111220 = 223351113716249
BaseRepresentation
bin11000101000010100…
…01010101000110100
31021010112121122112000
430110022022220310
5204040104024340
610024041055300
7645452406444
oct142412125064
937115548460
1013223111220
1156761131a0
122690487530
13132968b587
148d6246124
15525d23d30
hex31428aa34

13223111220 has 192 divisors, whose sum is σ = 45208800000. Its totient is φ = 3182008320.

The previous prime is 13223111201. The next prime is 13223111221. The reversal of 13223111220 is 2211132231.

13223111220 is a `hidden beast` number, since 1 + 322 + 311 + 12 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13223111193 and 13223111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223111221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 805656 + ... + 821904.

It is an arithmetic number, because the mean of its divisors is an integer number (235462500).

Almost surely, 213223111220 is an apocalyptic number.

13223111220 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 13223111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22604400000).

13223111220 is an abundant number, since it is smaller than the sum of its proper divisors (31985688780).

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

13223111220 is a wasteful number, since it uses less digits than its factorization.

13223111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16415 (or 16407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13223111220 its reverse (2211132231), we get a palindrome (15434243451).

The spelling of 13223111220 in words is "thirteen billion, two hundred twenty-three million, one hundred eleven thousand, two hundred twenty".