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11303041024 = 211111926407
BaseRepresentation
bin10101000011011011…
…01011100000000000
31002011201122222101001
422201231223200000
5141122034303044
65105331221344
7550046156242
oct124155534000
932151588331
1011303041024
1148802aa020
122235447854
1310b194b672
14793236092
1546249e2d4
hex2a1b6b800

11303041024 has 96 divisors (see below), whose sum is σ = 25953782400. Its totient is φ = 4867153920.

The previous prime is 11303041019. The next prime is 11303041027. The reversal of 11303041024 is 42014030311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 11303040992 and 11303041010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303041027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414829 + ... + 441235.

It is an arithmetic number, because the mean of its divisors is an integer number (270351900).

Almost surely, 211303041024 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 11303041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976891200).

11303041024 is an abundant number, since it is smaller than the sum of its proper divisors (14650741376).

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

11303041024 is a wasteful number, since it uses less digits than its factorization.

11303041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26459 (or 26439 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11303041024 its reverse (42014030311), we get a palindrome (53317071335).

The spelling of 11303041024 in words is "eleven billion, three hundred three million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2048 2432 2816 3344 4864 5632 6688 9728 11264 13376 19456 22528 26407 26752 38912 52814 53504 105628 107008 211256 214016 290477 422512 428032 501733 580954 845024 1003466 1161908 1690048 2006932 2323816 3380096 4013864 4647632 5519063 6760192 8027728 9295264 11038126 13520384 16055456 18590528 22076252 27040768 32110912 37181056 44152504 54081536 64221824 74362112 88305008 128443648 148724224 176610016 256887296 297448448 353220032 513774592 594896896 706440064 1027549184 1412880128 2825760256 5651520512 11303041024