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11033411224 = 23112935912043
BaseRepresentation
bin10100100011010010…
…00111111010011000
31001110221022100211011
422101221013322120
5140044023124344
65022500143304
7540263306443
oct122151077230
931427270734
1011033411224
114752089180
12217b097b34
13106ab251c4
147694ca65a
1544898dd34
hex291a47e98

11033411224 has 64 divisors (see below), whose sum is σ = 23413536000. Its totient is φ = 4828360320.

The previous prime is 11033411189. The next prime is 11033411227. The reversal of 11033411224 is 42211433011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11033411195 and 11033411204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033411227) 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, 910147 + ... + 922189.

It is an arithmetic number, because the mean of its divisors is an integer number (365836500).

Almost surely, 211033411224 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 11033411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706768000).

11033411224 is an abundant number, since it is smaller than the sum of its proper divisors (12380124776).

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

11033411224 is a wasteful number, since it uses less digits than its factorization.

11033411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11033411224 its reverse (42211433011), we get a palindrome (53244844235).

The spelling of 11033411224 in words is "eleven billion, thirty-three million, four hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 359 638 718 1276 1436 2552 2872 3949 7898 10411 12043 15796 20822 24086 31592 41644 48172 83288 96344 114521 132473 229042 264946 349247 458084 529892 698494 916168 1059784 1396988 2793976 3841717 4323437 7683434 8646874 15366868 17293748 30733736 34587496 47557807 95115614 125379673 190231228 250759346 380462456 501518692 1003037384 1379176403 2758352806 5516705612 11033411224