Search a number
-
+
111000011301330 = 2351710719126340493
BaseRepresentation
bin11001001111010000110100…
…001111100110000111010010
3112120000111102122020101002220
4121033100310033212013102
5104022111010343120310
61032024411244321510
732244325520365224
oct3117206417460722
9476014378211086
10111000011301330
1132405927684a28
1210548667243296
1349c23439c5c78
141d5a601a8a414
15cc7571e5c670
hex64f4343e61d2

111000011301330 has 256 divisors, whose sum is σ = 287292700164096. Its totient is φ = 27348905799680.

The previous prime is 111000011301323. The next prime is 111000011301331. The reversal of 111000011301330 is 33103110000111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (111000011301331) by changing a digit.

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, 2741194564 + ... + 2741235056.

It is an arithmetic number, because the mean of its divisors is an integer number (1122237110016).

Almost surely, 2111000011301330 is an apocalyptic number.

111000011301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111000011301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143646350082048).

111000011301330 is an abundant number, since it is smaller than the sum of its proper divisors (176292688862766).

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

111000011301330 is a wasteful number, since it uses less digits than its factorization.

111000011301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41081.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 111000011301330 its reverse (33103110000111), we get a palindrome (144103121301441).

The spelling of 111000011301330 in words is "one hundred eleven trillion, eleven million, three hundred one thousand, three hundred thirty".