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13311330032 = 2471121375557
BaseRepresentation
bin11000110010110101…
…01100011011110000
31021100200121121222102
430121122230123300
5204230200030112
610040511555532
7650603303240
oct143132543360
937320547872
1013311330032
115710998300
1226b5b2bba8
131341a38860
14903c4bb20
1552d94cbc2
hex3196ac6f0

13311330032 has 120 divisors (see below), whose sum is σ = 34890871008. Its totient is φ = 4787228160.

The previous prime is 13311330031. The next prime is 13311330127. The reversal of 13311330032 is 23003311331.

13311330032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13311329986 and 13311330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311330031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138398 + ... + 213954.

Almost surely, 213311330032 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 13311330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17445435504).

13311330032 is an abundant number, since it is smaller than the sum of its proper divisors (21579540976).

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

13311330032 is a wasteful number, since it uses less digits than its factorization.

13311330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75607 (or 75590 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13311330032 its reverse (23003311331), we get a palindrome (36314641363).

It can be divided in two parts, 13311 and 330032, that added together give a palindrome (343343).

The spelling of 13311330032 in words is "thirteen billion, three hundred eleven million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 176 182 208 242 286 308 364 484 572 616 728 847 968 1001 1144 1232 1456 1573 1694 1936 2002 2288 3146 3388 4004 6292 6776 8008 11011 12584 13552 16016 22022 25168 44044 75557 88088 151114 176176 302228 528899 604456 831127 982241 1057798 1208912 1662254 1964482 2115596 3324508 3928964 4231192 5817889 6649016 6875687 7857928 8462384 9142397 10804651 11635778 13298032 13751374 15715856 18284794 21609302 23271556 27502748 36569588 43218604 46543112 55005496 63996779 73139176 75632557 86437208 93086224 110010992 118851161 127993558 146278352 151265114 172874416 237702322 255987116 302530228 475404644 511974232 605060456 831958127 950809288 1023948464 1210120912 1663916254 1901618576 3327832508 6655665016 13311330032