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13332403120 = 245317017669
BaseRepresentation
bin11000110101010110…
…00101001110110000
31021102011021020211011
430122223011032300
5204301043344440
610042543400304
7651250361641
oct143253051660
937364236734
1013332403120
115721880883
122700bb3094
13134620653a
149069756c8
155307119ea
hex31aac53b0

13332403120 has 80 divisors (see below), whose sum is σ = 32047591680. Its totient is φ = 5152896000.

The previous prime is 13332403093. The next prime is 13332403157. The reversal of 13332403120 is 2130423331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13332403091 and 13332403100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734646 + ... + 1742314.

It is an arithmetic number, because the mean of its divisors is an integer number (400594896).

Almost surely, 213332403120 is an apocalyptic number.

13332403120 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 13332403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023795840).

13332403120 is an abundant number, since it is smaller than the sum of its proper divisors (18715188560).

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

13332403120 is a wasteful number, since it uses less digits than its factorization.

13332403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13332403120 its reverse (2130423331), we get a palindrome (15462826451).

The spelling of 13332403120 in words is "thirteen billion, three hundred thirty-two million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 701 1240 1402 2480 2804 3505 5608 7010 7669 11216 14020 15338 21731 28040 30676 38345 43462 56080 61352 76690 86924 108655 122704 153380 173848 217310 237739 306760 347696 434620 475478 613520 869240 950956 1188695 1738480 1901912 2377390 3803824 4754780 5375969 9509560 10751938 19019120 21503876 26879845 43007752 53759690 86015504 107519380 166655039 215038760 333310078 430077520 666620156 833275195 1333240312 1666550390 2666480624 3333100780 6666201560 13332403120