Search a number
-
+
11133420424 = 2371911519091
BaseRepresentation
bin10100101111001101…
…01000001110001000
31001201220111100122121
422113212220032020
5140300123423144
65040431501024
7542616340450
oct122746501610
931656440577
1011133420424
1147a3586605
1221a8687774
13108576cc49
147788c0d60
15452646384
hex2979a8388

11133420424 has 64 divisors (see below), whose sum is σ = 25137561600. Its totient is φ = 4515912000.

The previous prime is 11133420407. The next prime is 11133420427. The reversal of 11133420424 is 42402433111.

It is not an unprimeable number, because it can be changed into a prime (11133420427) 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, 1220119 + ... + 1229209.

It is an arithmetic number, because the mean of its divisors is an integer number (392774400).

Almost surely, 211133420424 is an apocalyptic number.

11133420424 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 11133420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568780800).

11133420424 is an abundant number, since it is smaller than the sum of its proper divisors (14004141176).

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

11133420424 is a wasteful number, since it uses less digits than its factorization.

11133420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11133420424 its reverse (42402433111), we get a palindrome (53535853535).

The spelling of 11133420424 in words is "eleven billion, one hundred thirty-three million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1151 2302 4604 8057 9091 9208 16114 18182 21869 32228 36364 43738 63637 64456 72728 87476 127274 153083 172729 174952 254548 306166 345458 509096 612332 690916 1209103 1224664 1381832 2418206 4836412 9672824 10463741 20927482 41854964 73246187 83709928 146492374 198811079 292984748 397622158 585969496 795244316 1391677553 1590488632 2783355106 5566710212 11133420424