Search a number
-
+
13010220032 = 2101732712
BaseRepresentation
bin11000001110111100…
…00011010000000000
31020120201000122201012
430013132003100000
5203121104020112
65550554100052
7640256021435
oct140736032000
936521018635
1013010220032
115576a25967
12263111a628
1312c453c764
148b5c69b8c
155122c0022
hex307783400

13010220032 has 66 divisors (see below), whose sum is σ = 26254948914. Its totient is φ = 6443642880.

The previous prime is 13010220017. The next prime is 13010220077. The reversal of 13010220032 is 23002201031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12709405696 + 300814336 = 112736^2 + 17344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13010219989 and 13010220016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48008057 + ... + 48008327.

Almost surely, 213010220032 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 13010220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127474457).

13010220032 is an abundant number, since it is smaller than the sum of its proper divisors (13244728882).

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

13010220032 is an frugal number, since it uses more digits than its factorization.

13010220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13010220032 its reverse (23002201031), we get a palindrome (36012421063).

The spelling of 13010220032 in words is "thirteen billion, ten million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 173 256 271 346 512 542 692 1024 1084 1384 2168 2768 4336 5536 8672 11072 17344 22144 34688 44288 46883 69376 73441 88576 93766 138752 146882 177152 187532 277504 293764 375064 587528 750128 1175056 1500256 2350112 3000512 4700224 6001024 9400448 12002048 12705293 18800896 24004096 25410586 37601792 48008192 50821172 75203584 101642344 203284688 406569376 813138752 1626277504 3252555008 6505110016 13010220032