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11124124424 = 2374310344851
BaseRepresentation
bin10100101110000110…
…01010101100001000
31001201021000001221022
422113003022230020
5140240233440144
65035500332012
7542444332430
oct122703125410
931637001838
1011124124424
114799307366
1221a5544008
13108386695a
147775812c0
1545190bcee
hex2970cab08

11124124424 has 64 divisors (see below), whose sum is σ = 24629130240. Its totient is φ = 4611297600.

The previous prime is 11124124423. The next prime is 11124124441. The reversal of 11124124424 is 42442142111.

It is a super-2 number, since 2×111241244242 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11124124393 and 11124124402.

It is not an unprimeable number, because it can be changed into a prime (11124124423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225599 + ... + 270449.

It is an arithmetic number, because the mean of its divisors is an integer number (384830160).

Almost surely, 211124124424 is an apocalyptic number.

11124124424 is a gapful number since it is divisible by the number (14) 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 11124124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314565120).

11124124424 is an abundant number, since it is smaller than the sum of its proper divisors (13505005816).

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

11124124424 is a wasteful number, since it uses less digits than its factorization.

11124124424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45010 (or 45006 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

Adding to 11124124424 its reverse (42442142111), we get a palindrome (53566266535).

The spelling of 11124124424 in words is "eleven billion, one hundred twenty-four million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 103 172 206 301 344 412 602 721 824 1204 1442 2408 2884 4429 5768 8858 17716 31003 35432 44851 62006 89702 124012 179404 248024 313957 358808 627914 1255828 1928593 2511656 3857186 4619653 7714372 9239306 13500151 15428744 18478612 27000302 32337571 36957224 54000604 64675142 108001208 129350284 198645079 258700568 397290158 794580316 1390515553 1589160632 2781031106 5562062212 11124124424