Search a number
-
+
13111102110000 = 24354716155447
BaseRepresentation
bin1011111011001010101010…
…0101010111100100110000
31201102102001020201111100110
42332302222211113210300
53204303014120010000
643515053540221320
72522150222063466
oct276625245274460
951372036644313
1013111102110000
1141a5429376414
12157902969a840
137414aa5c44cb
1433481b736836
1517b0b33d0850
hexbecaa957930

13111102110000 has 200 divisors, whose sum is σ = 42920510840064. Its totient is φ = 3447049760000.

The previous prime is 13111102109969. The next prime is 13111102110017. The reversal of 13111102110000 is 1120111131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 947724 + ... + 5207723.

Almost surely, 213111102110000 is an apocalyptic number.

13111102110000 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 13111102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21460255420032).

13111102110000 is an abundant number, since it is smaller than the sum of its proper divisors (29809408730064).

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

13111102110000 is an equidigital number, since it uses as much as digits as its factorization.

13111102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155549 (or 6155528 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 13111102110000 its reverse (1120111131), we get a palindrome (13112222221131).

The spelling of 13111102110000 in words is "thirteen trillion, one hundred eleven billion, one hundred two million, one hundred ten thousand".