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11411524124 = 227111319314767
BaseRepresentation
bin10101010000010111…
…00000101000011100
31002110021210111012122
422220023200220130
5141332322232444
65124204322112
7552534232430
oct125013405034
932407714178
1011411524124
114926564a80
122265843338
1310cb272450
147a37d49c0
1546bc7c4ee
hex2a82e0a1c

11411524124 has 96 divisors (see below), whose sum is σ = 26953844736. Its totient is φ = 4082503680.

The previous prime is 11411524121. The next prime is 11411524139. The reversal of 11411524124 is 42142511411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 11411524093 and 11411524102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411524121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 765389 + ... + 780155.

It is an arithmetic number, because the mean of its divisors is an integer number (280769216).

Almost surely, 211411524124 is an apocalyptic number.

11411524124 is a gapful number since it is divisible by the number (14) 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 11411524124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476922368).

11411524124 is an abundant number, since it is smaller than the sum of its proper divisors (15542320612).

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

11411524124 is a wasteful number, since it uses less digits than its factorization.

11411524124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14995 (or 14993 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

It can be divided in two parts, 11411 and 524124, that added together give a palindrome (535535).

The spelling of 11411524124 in words is "eleven billion, four hundred eleven million, five hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 193 286 308 364 386 572 772 1001 1351 2002 2123 2509 2702 4004 4246 5018 5404 8492 10036 14767 14861 17563 27599 29534 29722 35126 55198 59068 59444 70252 103369 110396 162437 191971 193193 206738 324874 383942 386386 413476 649748 767884 772772 1137059 1343797 2111681 2274118 2687594 2850031 4223362 4548236 5375188 5700062 8446724 11400124 14781767 19950217 29563534 31350341 37050403 39900434 59127068 62700682 74100806 79800868 125401364 148201612 219452387 259352821 407554433 438904774 518705642 815108866 877809548 1037411284 1630217732 2852881031 5705762062 11411524124