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11220401344032 = 253238959726889
BaseRepresentation
bin1010001101000111010000…
…0010010100111000100000
31110201122211001200000120100
42203101310002110320200
52432313340221002112
635510325313142400
72235435001534416
oct243216402247040
943648731600510
1011220401344032
113636600052911
12131270985aa00
1363510531011a
142ab0dad732b6
15146d05c262dc
hexa3474094e20

11220401344032 has 36 divisors (see below), whose sum is σ = 31908016322910. Its totient is φ = 3740133781248.

The previous prime is 11220401344027. The next prime is 11220401344057. The reversal of 11220401344032 is 23044310402211.

11220401344032 is a `hidden beast` number, since 1 + 1 + 2 + 204 + 0 + 13 + 440 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9186936752016 + 2033464592016 = 3030996^2 + 1425996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112204013440322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220401343987 and 11220401344005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19479863157 + ... + 19479863732.

Almost surely, 211220401344032 is an apocalyptic number.

11220401344032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220401344032 is an abundant number, since it is smaller than the sum of its proper divisors (20687614978878).

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

11220401344032 is a wasteful number, since it uses less digits than its factorization.

11220401344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38959726905 (or 38959726894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11220401344032 its reverse (23044310402211), we get a palindrome (34264711746243).

The spelling of 11220401344032 in words is "eleven trillion, two hundred twenty billion, four hundred one million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38959726889 77919453778 116879180667 155838907556 233758361334 311677815112 350637542001 467516722668 623355630224 701275084002 935033445336 1246711260448 1402550168004 1870066890672 2805100336008 3740133781344 5610200672016 11220401344032