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1130421134424 = 233371559816547
BaseRepresentation
bin10000011100110010010…
…110011010010001011000
311000001210222210111221010
4100130302112122101120
5122010100302300144
62223150332013520
7144445614050361
oct20346226322130
94001728714833
101130421134424
113a64552955aa
121630bb9012a0
13827a14a152a
143c9d9818b68
151e6115655b9
hex1073259a458

1130421134424 has 64 divisors (see below), whose sum is σ = 2904297926400. Its totient is φ = 366387456384.

The previous prime is 1130421134411. The next prime is 1130421134441. The reversal of 1130421134424 is 4244311240311.

It is a happy number.

It is a super-3 number, since 3×11304211344243 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130421134391 and 1130421134400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976119 + ... + 1792665.

It is an arithmetic number, because the mean of its divisors is an integer number (45379655100).

Almost surely, 21130421134424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130421134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452148963200).

1130421134424 is an abundant number, since it is smaller than the sum of its proper divisors (1773876791976).

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

1130421134424 is a wasteful number, since it uses less digits than its factorization.

1130421134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818152 (or 818148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1130421134424 its reverse (4244311240311), we get a palindrome (5374732374735).

It can be divided in two parts, 1130421 and 134424, that added together give a triangular number (1264845 = T1590).

The spelling of 1130421134424 in words is "one trillion, one hundred thirty billion, four hundred twenty-one million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1559 3118 4677 6236 9354 12472 18708 37416 57683 115366 173049 230732 346098 461464 692196 816547 1384392 1633094 2449641 3266188 4899282 6532376 9798564 19597128 30212239 60424478 90636717 120848956 181273434 241697912 362546868 725093736 1272996773 2545993546 3818990319 5091987092 7637980638 10183974184 15275961276 30551922552 47100880601 94201761202 141302641803 188403522404 282605283606 376807044808 565210567212 1130421134424