Search a number
-
+
13311310033320 = 233513239178719979
BaseRepresentation
bin1100000110110100011111…
…1001111111000110101000
31202010112211002020210000120
43001231013321333012220
53221043030332031240
644151044215003240
72542465446255105
oct301550771770650
952115732223016
1013311310033320
114272327541472
1215ab9a2969520
13757335a13220
143403b129daac
151813cec26ad0
hexc1b47e7f1a8

13311310033320 has 256 divisors, whose sum is σ = 43212040704000. Its totient is φ = 3260931265536.

The previous prime is 13311310033313. The next prime is 13311310033327. The reversal of 13311310033320 is 2333001311331.

It is an interprime number because it is at equal distance from previous prime (13311310033313) and next prime (13311310033327).

It is a super-3 number, since 3×133113100333203 (a number of 40 digits) contains 333 as substring.

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 (13311310033327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666255091 + ... + 666275069.

It is an arithmetic number, because the mean of its divisors is an integer number (168797034000).

Almost surely, 213311310033320 is an apocalyptic number.

13311310033320 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 13311310033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21606020352000).

13311310033320 is an abundant number, since it is smaller than the sum of its proper divisors (29900730670680).

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

13311310033320 is a wasteful number, since it uses less digits than its factorization.

13311310033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22032 (or 22028 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13311310033320 its reverse (2333001311331), we get a palindrome (15644311344651).

The spelling of 13311310033320 in words is "thirteen trillion, three hundred eleven billion, three hundred ten million, thirty-three thousand, three hundred twenty".