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13312211140140 = 223511166918676473
BaseRepresentation
bin1100000110110111110110…
…0111011011111000101100
31202010122010212211202012020
43001231331213123320230
53221101402022441030
644151313444510140
72542530000453513
oct301557547337054
952118125752166
1013312211140140
11427274a15a350
1215abbb46ab350
1375744a606623
14340458c2767a
15181433dc1510
hexc1b7d9dbe2c

13312211140140 has 192 divisors, whose sum is σ = 40715199383040. Its totient is φ = 3223043573760.

The previous prime is 13312211140139. The next prime is 13312211140157. The reversal of 13312211140140 is 4104111221331.

It is a self number, because there is not a number n which added to its sum of digits gives 13312211140140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056571944 + ... + 2056578416.

It is an arithmetic number, because the mean of its divisors is an integer number (212058330120).

Almost surely, 213312211140140 is an apocalyptic number.

13312211140140 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 13312211140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357599691520).

13312211140140 is an abundant number, since it is smaller than the sum of its proper divisors (27402988242900).

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

13312211140140 is a wasteful number, since it uses less digits than its factorization.

13312211140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13312211140140 its reverse (4104111221331), we get a palindrome (17416322361471).

The spelling of 13312211140140 in words is "thirteen trillion, three hundred twelve billion, two hundred eleven million, one hundred forty thousand, one hundred forty".