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13330122432 = 2631153119087
BaseRepresentation
bin11000110101000100…
…11000011011000000
31021101222222101022020
430122202120123000
5204300002404212
610042422441440
7651222112464
oct143242303300
937358871266
1013330122432
115720563310
122700293280
1313458b8413
149065404a4
15530410d8c
hex31a8986c0

13330122432 has 112 divisors (see below), whose sum is σ = 39201864192. Its totient is φ = 3963182080.

The previous prime is 13330122383. The next prime is 13330122439. The reversal of 13330122432 is 23422103331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13330122439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52393 + ... + 171479.

Almost surely, 213330122432 is an apocalyptic number.

13330122432 is a gapful number since it is divisible by the number (12) 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 13330122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600932096).

13330122432 is an abundant number, since it is smaller than the sum of its proper divisors (25871741760).

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

13330122432 is a wasteful number, since it uses less digits than its factorization.

13330122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119166 (or 119156 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13330122432 its reverse (23422103331), we get a palindrome (36752225763).

The spelling of 13330122432 in words is "thirteen billion, three hundred thirty million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 192 212 264 318 352 424 528 583 636 704 848 1056 1166 1272 1696 1749 2112 2332 2544 3392 3498 4664 5088 6996 9328 10176 13992 18656 27984 37312 55968 111936 119087 238174 357261 476348 714522 952696 1309957 1429044 1905392 2619914 2858088 3810784 3929871 5239828 5716176 6311611 7621568 7859742 10479656 11432352 12623222 15719484 18934833 20959312 22864704 25246444 31438968 37869666 41918624 50492888 62877936 69427721 75739332 83837248 100985776 125755872 138855442 151478664 201971552 208283163 251511744 277710884 302957328 403943104 416566326 555421768 605914656 833132652 1110843536 1211829312 1666265304 2221687072 3332530608 4443374144 6665061216 13330122432