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11241101024 = 251925916493
BaseRepresentation
bin10100111100000010…
…11001011011100000
31002000102010002122222
422132001121123200
5141010210213044
65055235450212
7545364532166
oct123601313340
932012102588
1011241101024
11484934363a
122218756968
1310a1b7268a
14788d11236
1545bd168ee
hex29e0596e0

11241101024 has 72 divisors (see below), whose sum is σ = 23754328920. Its totient is φ = 5234164992.

The previous prime is 11241101021. The next prime is 11241101051. The reversal of 11241101024 is 42010114211.

It is a junction number, because it is equal to n+sod(n) for n = 11241100993 and 11241101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241101021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673322 + ... + 689814.

It is an arithmetic number, because the mean of its divisors is an integer number (329921235).

Almost surely, 211241101024 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 11241101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877164460).

11241101024 is an abundant number, since it is smaller than the sum of its proper divisors (12513227896).

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

11241101024 is a wasteful number, since it uses less digits than its factorization.

11241101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11241101024 its reverse (42010114211), we get a palindrome (53251215235).

The spelling of 11241101024 in words is "eleven billion, two hundred forty-one million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 361 472 608 722 944 1121 1444 1888 2242 2888 4484 5776 8968 11552 16493 17936 21299 32986 35872 42598 65972 85196 131944 170392 263888 313367 340784 527776 626734 681568 973087 1253468 1946174 2506936 3892348 5013872 5953973 7784696 10027744 11907946 15569392 18488653 23815892 31138784 36977306 47631784 73954612 95263568 147909224 190527136 295818448 351284407 591636896 702568814 1405137628 2810275256 5620550512 11241101024