Search a number
-
+
13313373069312 = 21333676771327
BaseRepresentation
bin1100000110111100001011…
…0111110110000000000000
31202010202010212012212101000
43001233002313312000000
53221111242001204222
644152025033012000
72542600536630231
oct301570267660000
952122125185330
1013313373069312
114273196022998
1215b0279854000
137575a425b394
14340529287088
151814a0ddb9ac
hexc1bc2df6000

13313373069312 has 448 divisors, whose sum is σ = 40122695715840. Its totient is φ = 4361808642048.

The previous prime is 13313373069301. The next prime is 13313373069313. The reversal of 13313373069312 is 21396037331331.

13313373069312 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 337 + 306 + 9 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313373069313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10032684393 + ... + 10032685719.

Almost surely, 213313373069312 is an apocalyptic number.

13313373069312 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 13313373069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061347857920).

13313373069312 is an abundant number, since it is smaller than the sum of its proper divisors (26809322646528).

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

13313373069312 is an equidigital number, since it uses as much as digits as its factorization.

13313373069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 45.

The spelling of 13313373069312 in words is "thirteen trillion, three hundred thirteen billion, three hundred seventy-three million, sixty-nine thousand, three hundred twelve".