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13211323020 = 2233577194861
BaseRepresentation
bin11000100110111010…
…01100101010001100
31021002201102202011000
430103131030222030
5204024044314040
610022540300300
7645250251510
oct142335145214
937081382130
1013211323020
11566a4a1585
122688541690
1313270c1acc
148d4858140
15524c96130
hex31374ca8c

13211323020 has 192 divisors, whose sum is σ = 47048601600. Its totient is φ = 3014910720.

The previous prime is 13211323009. The next prime is 13211323127. The reversal of 13211323020 is 2032311231.

13211323020 is a `hidden beast` number, since 1 + 321 + 1 + 323 + 0 + 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 = 13211322984 and 13211323002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2715390 + ... + 2720250.

It is an arithmetic number, because the mean of its divisors is an integer number (245044800).

Almost surely, 213211323020 is an apocalyptic number.

13211323020 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 13211323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524300800).

13211323020 is an abundant number, since it is smaller than the sum of its proper divisors (33837278580).

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

13211323020 is a wasteful number, since it uses less digits than its factorization.

13211323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5597 counting only the distinct ones).

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

Adding to 13211323020 its reverse (2032311231), we get a palindrome (15243634251).

The spelling of 13211323020 in words is "thirteen billion, two hundred eleven million, three hundred twenty-three thousand, twenty".