Search a number
-
+
11110100102100 = 22325212344555669
BaseRepresentation
bin1010000110101100010110…
…0100011110101111010100
31110100010002222102100221200
42201223011210132233110
52424011441111231400
635343524242512500
72224451431462536
oct241530544365724
943303088370850
1011110100102100
1135a384896022a
1212b5266065730
136278a759c06c
142a5a35b75856
15143eec476b00
hexa1ac591ebd4

11110100102100 has 54 divisors (see below), whose sum is σ = 34823991545070. Its totient is φ = 2962693360320.

The previous prime is 11110100102083. The next prime is 11110100102173. The reversal of 11110100102100 is 120100101111.

11110100102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1671957613764 + 9438142488336 = 1293042^2 + 3072156^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6172276935 + ... + 6172278734.

Almost surely, 211110100102100 is an apocalyptic number.

11110100102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110100102100 is an abundant number, since it is smaller than the sum of its proper divisors (23713891442970).

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

11110100102100 is a wasteful number, since it uses less digits than its factorization.

11110100102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12344555689 (or 12344555679 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11110100102100 its reverse (120100101111), we get a palindrome (11230200203211).

The spelling of 11110100102100 in words is "eleven trillion, one hundred ten billion, one hundred million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12344555669 24689111338 37033667007 49378222676 61722778345 74067334014 111101001021 123445556690 148134668028 185168335035 222202002042 246891113380 308613891725 370336670070 444404004084 555505005105 617227783450 740673340140 925841675175 1111010010210 1234455566900 1851683350350 2222020020420 2777525025525 3703366700700 5555050051050 11110100102100