Search a number
-
+
11242130424 = 2337127526909
BaseRepresentation
bin10100111100001010…
…10100101111111000
31002000111001101201220
422132011110233320
5141010441133144
65055313512040
7545406350310
oct123605245770
932014041656
1011242130424
114849986a88
122218b72620
1310a21430a5
147890dc440
1545be6b919
hex29e154bf8

11242130424 has 64 divisors (see below), whose sum is σ = 32373350400. Its totient is φ = 3186739584.

The previous prime is 11242130407. The next prime is 11242130437. The reversal of 11242130424 is 42403124211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11242130394 and 11242130403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242119 + ... + 284790.

It is an arithmetic number, because the mean of its divisors is an integer number (505833600).

Almost surely, 211242130424 is an apocalyptic number.

11242130424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11242130424 is an abundant number, since it is smaller than the sum of its proper divisors (21131219976).

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

11242130424 is a wasteful number, since it uses less digits than its factorization.

11242130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527052 (or 527048 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11242130424 its reverse (42403124211), we get a palindrome (53645254635).

It can be divided in two parts, 112421 and 30424, that added together give a triangular number (142845 = T534).

The spelling of 11242130424 in words is "eleven billion, two hundred forty-two million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 5334 7112 10668 21336 526909 1053818 1580727 2107636 3161454 3688363 4215272 6322908 7376726 11065089 12645816 14753452 22130178 29506904 44260356 66917443 88520712 133834886 200752329 267669772 401504658 468422101 535339544 803009316 936844202 1405266303 1606018632 1873688404 2810532606 3747376808 5621065212 11242130424