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111101380 = 225133711549
BaseRepresentation
bin1101001111101…
…00010111000100
321202001112102221
412213310113010
5211420221010
615005142124
72516226505
oct647642704
9252045387
10111101380
1157794125
123125a944
131a02c780
1410a80bac
159b48dda
hex69f45c4

111101380 has 48 divisors (see below), whose sum is σ = 258073200. Its totient is φ = 39909888.

The previous prime is 111101377. The next prime is 111101381. The reversal of 111101380 is 83101111.

It can be written as a sum of positive squares in 8 ways, for example, as 7387524 + 103713856 = 2718^2 + 10184^2 .

It is not an unprimeable number, because it can be changed into a prime (111101381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3846 + ... + 15394.

It is an arithmetic number, because the mean of its divisors is an integer number (5376525).

Almost surely, 2111101380 is an apocalyptic number.

111101380 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 111101380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129036600).

111101380 is an abundant number, since it is smaller than the sum of its proper divisors (146971820).

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

111101380 is a wasteful number, since it uses less digits than its factorization.

111101380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11608 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

The square root of 111101380 is about 10540.4639366586. The cubic root of 111101380 is about 480.7358216686.

Adding to 111101380 its reverse (83101111), we get a palindrome (194202491).

The spelling of 111101380 in words is "one hundred eleven million, one hundred one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 11549 23098 46196 57745 115490 150137 230980 300274 427313 600548 750685 854626 1501370 1709252 2136565 3002740 4273130 5555069 8546260 11110138 22220276 27775345 55550690 111101380