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111143501300 = 225213160153401
BaseRepresentation
bin110011110000010101…
…0110011110111110100
3101121212210002212021002
41213200222303313310
53310110214020200
6123020354542432
711013145113326
oct1474052636764
9347783085232
10111143501300
1143154677607
1219659897a18
13a63339bcb0
145545007616
152d576c2bd5
hex19e0ab3df4

111143501300 has 72 divisors (see below), whose sum is σ = 259900912152. Its totient is φ = 41011200000.

The previous prime is 111143501171. The next prime is 111143501333. The reversal of 111143501300 is 3105341111.

It can be written as a sum of positive squares in 12 ways, for example, as 28977571984 + 82165929316 = 170228^2 + 286646^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2054600 + ... + 2108000.

It is an arithmetic number, because the mean of its divisors is an integer number (3609734891).

Almost surely, 2111143501300 is an apocalyptic number.

111143501300 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 111143501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129950456076).

111143501300 is an abundant number, since it is smaller than the sum of its proper divisors (148757410852).

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

111143501300 is a wasteful number, since it uses less digits than its factorization.

111143501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55029 (or 55022 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 111143501300 its reverse (3105341111), we get a palindrome (114248842411).

The spelling of 111143501300 in words is "one hundred eleven billion, one hundred forty-three million, five hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1601 3202 6404 8005 16010 20813 32020 40025 41626 53401 80050 83252 104065 106802 160100 208130 213604 267005 416260 520325 534010 694213 1040650 1068020 1335025 1388426 2081300 2670050 2776852 3471065 5340100 6942130 13884260 17355325 34710650 69421300 85495001 170990002 341980004 427475005 854950010 1111435013 1709900020 2137375025 2222870026 4274750050 4445740052 5557175065 8549500100 11114350130 22228700260 27785875325 55571750650 111143501300