Search a number
-
+
11230231221000 = 23325311331389881
BaseRepresentation
bin1010001101101011110111…
…1100010101001100001000
31110202121012010022111202200
42203122331330111030020
52432444003143033000
635515032541400200
72236233412236021
oct243327574251410
943677163274680
1011230231221000
11363a794830980
1213145b1869060
136360109a427c
142ab79068dc48
151471cdbcc500
hexa36bdf15308

11230231221000 has 768 divisors, whose sum is σ = 41688064454400. Its totient is φ = 2704204800000.

The previous prime is 11230231220983. The next prime is 11230231221037. The reversal of 11230231221000 is 12213203211.

11230231221000 is a `hidden beast` number, since 112 + 30 + 2 + 312 + 210 + 0 + 0 = 666.

11230231221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112302312210002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12747140560 + ... + 12747141440.

It is an arithmetic number, because the mean of its divisors is an integer number (54281333925).

Almost surely, 211230231221000 is an apocalyptic number.

11230231221000 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 11230231221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20844032227200).

11230231221000 is an abundant number, since it is smaller than the sum of its proper divisors (30457833233400).

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

11230231221000 is a wasteful number, since it uses less digits than its factorization.

11230231221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11230231221000 its reverse (12213203211), we get a palindrome (11242444424211).

The spelling of 11230231221000 in words is "eleven trillion, two hundred thirty billion, two hundred thirty-one million, two hundred twenty-one thousand".