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13022000128 = 21097131101
BaseRepresentation
bin11000010000010101…
…11111010000000000
31020121112012010222001
430020022333100000
5203132113001003
65552054353344
7640461113644
oct141012772000
936545163861
1013022000128
115582641485
12263505b854
1312c6b05627
148b7654c24
1551334a61d
hex3082bf400

13022000128 has 44 divisors (see below), whose sum is σ = 26299847812. Its totient is φ = 6443827200.

The previous prime is 13022000087. The next prime is 13022000129. The reversal of 13022000128 is 82100022031.

It can be written as a sum of positive squares in 2 ways, for example, as 5771137024 + 7250863104 = 75968^2 + 85152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022000129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33778 + ... + 164878.

Almost surely, 213022000128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149923906).

13022000128 is an abundant number, since it is smaller than the sum of its proper divisors (13277847684).

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

13022000128 is an equidigital number, since it uses as much as digits as its factorization.

13022000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131218 (or 131200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13022000128 its reverse (82100022031), we get a palindrome (95122022159).

The spelling of 13022000128 in words is "thirteen billion, twenty-two million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 3104 6208 12416 24832 49664 99328 131101 262202 524404 1048808 2097616 4195232 8390464 12716797 16780928 25433594 33561856 50867188 67123712 101734376 134247424 203468752 406937504 813875008 1627750016 3255500032 6511000064 13022000128