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11324112260 = 2254144930757
BaseRepresentation
bin10101000101111100…
…00011110110000100
31002020012022111200012
422202332003312010
5141142433043020
65111403005352
7550423236356
oct124276036604
932205274605
1011324112260
11489119116a
122240509858
1310b6118556
14795d5d0d6
154642627c5
hex2a2f83d84

11324112260 has 48 divisors (see below), whose sum is σ = 24415700400. Its totient is φ = 4409180160.

The previous prime is 11324112257. The next prime is 11324112281. The reversal of 11324112260 is 6221142311.

It can be written as a sum of positive squares in 8 ways, for example, as 1258404676 + 10065707584 = 35474^2 + 100328^2 .

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, 352802 + ... + 383558.

It is an arithmetic number, because the mean of its divisors is an integer number (508660425).

Almost surely, 211324112260 is an apocalyptic number.

11324112260 is a gapful number since it is divisible by the number (10) 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 11324112260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12207850200).

11324112260 is an abundant number, since it is smaller than the sum of its proper divisors (13091588140).

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

11324112260 is a wasteful number, since it uses less digits than its factorization.

11324112260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31256 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11324112260 its reverse (6221142311), we get a palindrome (17545254571).

The spelling of 11324112260 in words is "eleven billion, three hundred twenty-four million, one hundred twelve thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 449 820 898 1796 2245 4490 8980 18409 30757 36818 61514 73636 92045 123028 153785 184090 307570 368180 615140 1261037 2522074 5044148 6305185 12610370 13809893 25220740 27619786 55239572 69049465 138098930 276197860 566205613 1132411226 2264822452 2831028065 5662056130 11324112260