Search a number
-
+
13011120103320 = 233353110113032953
BaseRepresentation
bin1011110101010110001100…
…1100010001111110011000
31201001211222022221022022000
42331111203030101332120
53201133233221301240
643401120455001000
72512010454045603
oct275254314217630
951054868838260
1013011120103320
114166a9210aa29
121561785969160
13734c35744a01
1432da54c3b33a
151786b0a4c430
hexbd563311f98

13011120103320 has 512 divisors, whose sum is σ = 45262728806400. Its totient is φ = 3320787456000.

The previous prime is 13011120103273. The next prime is 13011120103337. The reversal of 13011120103320 is 2330102111031.

13011120103320 is a `hidden beast` number, since 1 + 30 + 111 + 201 + 0 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13011120103293 and 13011120103302.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4406066964 + ... + 4406069916.

It is an arithmetic number, because the mean of its divisors is an integer number (88403767200).

Almost surely, 213011120103320 is an apocalyptic number.

13011120103320 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 13011120103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22631364403200).

13011120103320 is an abundant number, since it is smaller than the sum of its proper divisors (32251608703080).

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

13011120103320 is a wasteful number, since it uses less digits than its factorization.

13011120103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13011120103320 its reverse (2330102111031), we get a palindrome (15341222214351).

The spelling of 13011120103320 in words is "thirteen trillion, eleven billion, one hundred twenty million, one hundred three thousand, three hundred twenty".