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11131430024 = 23111336726513
BaseRepresentation
bin10100101110111110…
…00010010010001000
31001201202202020100002
422113133002102020
5140244121230044
65040321102132
7542563410521
oct122737022210
931652666302
1011131430024
1147a2447150
1221a7a87948
131085223cb0
14778523848
154523a174e
hex2977c2488

11131430024 has 64 divisors (see below), whose sum is σ = 24588023040. Its totient is φ = 4657628160.

The previous prime is 11131430021. The next prime is 11131430087. The reversal of 11131430024 is 42003413111.

It is a junction number, because it is equal to n+sod(n) for n = 11131429978 and 11131430005.

It is not an unprimeable number, because it can be changed into a prime (11131430021) 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, 406592 + ... + 433104.

It is an arithmetic number, because the mean of its divisors is an integer number (384187860).

Almost surely, 211131430024 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 11131430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294011520).

11131430024 is an abundant number, since it is smaller than the sum of its proper divisors (13456593016).

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

11131430024 is a wasteful number, since it uses less digits than its factorization.

11131430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26910 (or 26906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11131430024 its reverse (42003413111), we get a palindrome (53134843135).

The spelling of 11131430024 in words is "eleven billion, one hundred thirty-one million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 367 572 734 1144 1468 2936 4037 4771 8074 9542 16148 19084 26513 32296 38168 52481 53026 104962 106052 209924 212104 291643 344669 419848 583286 689338 1166572 1378676 2333144 2757352 3791359 7582718 9730271 15165436 19460542 30330872 38921084 77842168 107032981 126493523 214065962 252987046 428131924 505974092 856263848 1011948184 1391428753 2782857506 5565715012 11131430024