Search a number
-
+
11132112130220 = 225556605606511
BaseRepresentation
bin1010000111111110010110…
…0101101101000010101100
31110102012221000221020220102
42201333211211231002230
52424342031201131340
635402004405010232
72226161054565614
oct241774545550254
943365830836812
1011132112130220
1136021140a1804
1212b95899b3978
136299a4a72a83
142a6b23367a44
15144889b7e215
hexa1fe596d0ac

11132112130220 has 12 divisors (see below), whose sum is σ = 23377435473504. Its totient is φ = 4452844852080.

The previous prime is 11132112130211. The next prime is 11132112130229. The reversal of 11132112130220 is 2203121123111.

It is an interprime number because it is at equal distance from previous prime (11132112130211) and next prime (11132112130229).

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 556605606511 = 11132112130220 / (1 + 1 + 1 + 3 + 2 + 1 + 1 + 2 + 1 + 3 + 0 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 11132112130192 and 11132112130201.

It is not an unprimeable number, because it can be changed into a prime (11132112130229) 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 3 ways as a sum of consecutive naturals, for example, 278302803236 + ... + 278302803275.

It is an arithmetic number, because the mean of its divisors is an integer number (1948119622792).

Almost surely, 211132112130220 is an apocalyptic number.

11132112130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132112130220 is an abundant number, since it is smaller than the sum of its proper divisors (12245323343284).

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

11132112130220 is a wasteful number, since it uses less digits than its factorization.

11132112130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556605606520 (or 556605606518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11132112130220 its reverse (2203121123111), we get a palindrome (13335233253331).

The spelling of 11132112130220 in words is "eleven trillion, one hundred thirty-two billion, one hundred twelve million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 556605606511 1113211213022 2226422426044 2783028032555 5566056065110 11132112130220