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11042022420 = 2232511134110463
BaseRepresentation
bin10100100100010011…
…11110010000010100
31001111112111212011100
422102021332100110
5140103224204140
65023404510100
7540426433122
oct122211762024
931445455140
1011042022420
114756a2a970
122181b4b330
13106c84b8a0
1476a6cc912
154495e0530
hex29227e414

11042022420 has 288 divisors, whose sum is σ = 40313355264. Its totient is φ = 2410444800.

The previous prime is 11042022419. The next prime is 11042022437. The reversal of 11042022420 is 2422024011.

11042022420 is a `hidden beast` number, since 1 + 1 + 0 + 420 + 2 + 242 + 0 = 666.

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 = 11042022393 and 11042022402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050109 + ... + 1060571.

It is an arithmetic number, because the mean of its divisors is an integer number (139976928).

Almost surely, 211042022420 is an apocalyptic number.

11042022420 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 11042022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20156677632).

11042022420 is an abundant number, since it is smaller than the sum of its proper divisors (29271332844).

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

11042022420 is a wasteful number, since it uses less digits than its factorization.

11042022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11042022420 its reverse (2422024011), we get a palindrome (13464046431).

The spelling of 11042022420 in words is "eleven billion, forty-two million, twenty-two thousand, four hundred twenty".