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11024234032 = 247310119889
BaseRepresentation
bin10100100010001100…
…00111011000110000
31001110022001010002011
422101012013120300
5140034200442112
65021531332304
7540122305000
oct122106073060
931408033064
1011024234032
114747990219
122177bb1094
131068c61006
147681bc000
15447c79aa7
hex291187630

11024234032 has 80 divisors (see below), whose sum is σ = 25156872000. Its totient is φ = 4677657600.

The previous prime is 11024234003. The next prime is 11024234047. The reversal of 11024234032 is 23043242011.

It is a junction number, because it is equal to n+sod(n) for n = 11024233994 and 11024234012.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 544344 + ... + 564232.

It is an arithmetic number, because the mean of its divisors is an integer number (314460900).

Almost surely, 211024234032 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 11024234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578436000).

11024234032 is an abundant number, since it is smaller than the sum of its proper divisors (14132637968).

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

11024234032 is a wasteful number, since it uses less digits than its factorization.

11024234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20019 (or 19999 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11024234032 its reverse (23043242011), we get a palindrome (34067476043).

The spelling of 11024234032 in words is "eleven billion, twenty-four million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 343 392 404 686 707 784 808 1372 1414 1616 2744 2828 4949 5488 5656 9898 11312 19796 19889 34643 39592 39778 69286 79184 79556 138572 139223 159112 277144 278446 318224 554288 556892 974561 1113784 1949122 2008789 2227568 3898244 4017578 6821927 7796488 8035156 13643854 14061523 15592976 16070312 27287708 28123046 32140624 54575416 56246092 98430661 109150832 112492184 196861322 224984368 393722644 689014627 787445288 1378029254 1574890576 2756058508 5512117016 11024234032