Search a number
-
+
114411322100 = 22522694253209
BaseRepresentation
bin110101010001101110…
…0100011101011110100
3101221022112002100200002
41222203130203223310
53333303244301400
6124320531410432
711160135122555
oct1524334435364
9357275070602
10114411322100
1144581232759
121a210153a18
13aa343c547a
14577500832c
152e9951aed5
hex1aa3723af4

114411322100 has 36 divisors (see below), whose sum is σ = 249195573900. Its totient is φ = 45594389760.

The previous prime is 114411322093. The next prime is 114411322111. The reversal of 114411322100 is 1223114411.

It can be written as a sum of positive squares in 6 ways, for example, as 13320391396 + 101090930704 = 115414^2 + 317948^2 .

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 11 ways as a sum of consecutive naturals, for example, 2099705 + ... + 2153504.

It is an arithmetic number, because the mean of its divisors is an integer number (6922099275).

Almost surely, 2114411322100 is an apocalyptic number.

114411322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114411322100 is an abundant number, since it is smaller than the sum of its proper divisors (134784251800).

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

114411322100 is a wasteful number, since it uses less digits than its factorization.

114411322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253492 (or 4253485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114411322100 its reverse (1223114411), we get a palindrome (115634436511).

The spelling of 114411322100 in words is "one hundred fourteen billion, four hundred eleven million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5380 6725 13450 26900 4253209 8506418 17012836 21266045 42532090 85064180 106330225 212660450 425320900 1144113221 2288226442 4576452884 5720566105 11441132210 22882264420 28602830525 57205661050 114411322100