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11242104012 = 22321736750053
BaseRepresentation
bin10100111100001010…
…01110010011001100
31002000111000001111200
422132011032103030
5141010434312022
65055313145500
7545406210306
oct123605162314
932014001450
1011242104012
114849969157
122218b5b290
1310a2134069
147890d2976
1545be63bac
hex29e14e4cc

11242104012 has 72 divisors (see below), whose sum is σ = 30171750336. Its totient is φ = 3517254144.

The previous prime is 11242103993. The next prime is 11242104017. The reversal of 11242104012 is 21040124211.

11242104012 is a `hidden beast` number, since 11 + 242 + 10 + 401 + 2 = 666.

It is a super-2 number, since 2×112421040122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11242104017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199578 + ... + 249630.

It is an arithmetic number, because the mean of its divisors is an integer number (419052088).

Almost surely, 211242104012 is an apocalyptic number.

11242104012 is a gapful number since it is divisible by the number (12) 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 11242104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085875168).

11242104012 is an abundant number, since it is smaller than the sum of its proper divisors (18929646324).

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

11242104012 is a wasteful number, since it uses less digits than its factorization.

11242104012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50447 (or 50442 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11242104012 its reverse (21040124211), we get a palindrome (32282228223).

The spelling of 11242104012 in words is "eleven billion, two hundred forty-two million, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 367 612 734 1101 1468 2202 3303 4404 6239 6606 12478 13212 18717 24956 37434 50053 56151 74868 100106 112302 150159 200212 224604 300318 450477 600636 850901 900954 1701802 1801908 2552703 3403604 5105406 7658109 10210812 15316218 18369451 30632436 36738902 55108353 73477804 110216706 165325059 220433412 312280667 330650118 624561334 661300236 936842001 1249122668 1873684002 2810526003 3747368004 5621052006 11242104012