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11331430304 = 252914338521
BaseRepresentation
bin10101000110110011…
…11110011110100000
31002020201002022010212
422203121332132200
5141201321232204
65112223513252
7550542365645
oct124331763640
932221068125
1011331430304
11489532a337
122242a58828
1310b77ab45c
14796d05dcc
15464c0ac6e
hex2a367e7a0

11331430304 has 48 divisors (see below), whose sum is σ = 23096835720. Its totient is φ = 5465886720.

The previous prime is 11331430289. The next prime is 11331430321. The reversal of 11331430304 is 40303413311.

It can be written as a sum of positive squares in 4 ways, for example, as 10845139600 + 486290704 = 104140^2 + 22052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11331430304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1325564 + ... + 1334084.

Almost surely, 211331430304 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 11331430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548417860).

11331430304 is an abundant number, since it is smaller than the sum of its proper divisors (11765405416).

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

11331430304 is a wasteful number, since it uses less digits than its factorization.

11331430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11331430304 its reverse (40303413311), we get a palindrome (51634843615).

The spelling of 11331430304 in words is "eleven billion, three hundred thirty-one million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1433 2866 5732 8521 11464 17042 22928 34084 41557 45856 68168 83114 136336 166228 247109 272672 332456 494218 664912 988436 1329824 1976872 3953744 7907488 12210593 24421186 48842372 97684744 195369488 354107197 390738976 708214394 1416428788 2832857576 5665715152 11331430304