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13021210020 = 22357213273359
BaseRepresentation
bin11000010000001111…
…11110010110100100
31020121110201000010210
430020013332112210
5203131412210040
65552025415420
7640451313300
oct141007762644
936543630123
1013021210020
1155821518a5
12263493a570
1312c68b9b00
148b74cad00
15513241480
hex3081fe5a4

13021210020 has 432 divisors, whose sum is σ = 46684149120. Its totient is φ = 2702149632.

The previous prime is 13021210001. The next prime is 13021210031. The reversal of 13021210020 is 2001212031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13021209978 and 13021210005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36270601 + ... + 36270959.

It is an arithmetic number, because the mean of its divisors is an integer number (108065160).

Almost surely, 213021210020 is an apocalyptic number.

13021210020 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 13021210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342074560).

13021210020 is an abundant number, since it is smaller than the sum of its proper divisors (33662939100).

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

13021210020 is a wasteful number, since it uses less digits than its factorization.

13021210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13021210020 its reverse (2001212031), we get a palindrome (15022422051).

The spelling of 13021210020 in words is "thirteen billion, twenty-one million, two hundred ten thousand, twenty".