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11223103011120 = 243257111329353147
BaseRepresentation
bin1010001101010001010100…
…0100010111100100110000
31110201220210100022221002100
42203110111010113210300
52432334403332323440
635511453343220400
72235561645403020
oct243242504274460
943656710287070
1011223103011120
113637767078330
1213131425a7700
13635445c5b5c0
142ab2b5abba80
15146e12eda230
hexa3515117930

11223103011120 has 960 divisors, whose sum is σ = 50779663893504. Its totient is φ = 2145295687680.

The previous prime is 11223103011091. The next prime is 11223103011121. The reversal of 11223103011120 is 2111030132211.

11223103011120 is a `hidden beast` number, since 1 + 1 + 22 + 310 + 301 + 11 + 20 = 666.

It is a super-3 number, since 3×112231030111203 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11223103011093 and 11223103011102.

It is not an unprimeable number, because it can be changed into a prime (11223103011121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211144387 + ... + 211197533.

Almost surely, 211223103011120 is an apocalyptic number.

11223103011120 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 11223103011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25389831946752).

11223103011120 is an abundant number, since it is smaller than the sum of its proper divisors (39556560882384).

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

11223103011120 is a wasteful number, since it uses less digits than its factorization.

11223103011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53490 (or 53481 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11223103011120 its reverse (2111030132211), we get a palindrome (13334133143331).

The spelling of 11223103011120 in words is "eleven trillion, two hundred twenty-three billion, one hundred three million, eleven thousand, one hundred twenty".