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13211033220 = 223257114012377
BaseRepresentation
bin11000100110111000…
…00101111010000100
31021002200220000121200
430103130011322010
5204024011030340
610022530142500
7645244633560
oct142334057204
937080800550
1013211033220
11566a313880
122688421a30
13132701cc28
148d47c06a0
15524c3a330
hex313705e84

13211033220 has 288 divisors, whose sum is σ = 50107389696. Its totient is φ = 2737152000.

The previous prime is 13211033219. The next prime is 13211033221. The reversal of 13211033220 is 2233011231.

13211033220 is a `hidden beast` number, since 1 + 321 + 10 + 332 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13211033219) and next prime (13211033221).

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 = 13211033193 and 13211033202.

It is not an unprimeable number, because it can be changed into a prime (13211033221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5556672 + ... + 5559048.

It is an arithmetic number, because the mean of its divisors is an integer number (173983992).

Almost surely, 213211033220 is an apocalyptic number.

13211033220 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 13211033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053694848).

13211033220 is an abundant number, since it is smaller than the sum of its proper divisors (36896356476).

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

13211033220 is a wasteful number, since it uses less digits than its factorization.

13211033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13211033220 its reverse (2233011231), we get a palindrome (15444044451).

The spelling of 13211033220 in words is "thirteen billion, two hundred eleven million, thirty-three thousand, two hundred twenty".