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11153224124 = 2271923979397
BaseRepresentation
bin10100110001100100…
…01011000110111100
31001210021202111012222
422120302023012330
5140320211132444
65042420144512
7543246561260
oct123062130674
931707674188
1011153224124
1148037823a9
1221b3238138
1310898b4c03
1477b3980a0
15454258eee
hex298c8b1bc

11153224124 has 96 divisors (see below), whose sum is σ = 24756587520. Its totient is φ = 4286380032.

The previous prime is 11153224099. The next prime is 11153224133. The reversal of 11153224124 is 42142235111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11153224093 and 11153224102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182194 + ... + 1191590.

It is an arithmetic number, because the mean of its divisors is an integer number (257881120).

Almost surely, 211153224124 is an apocalyptic number.

11153224124 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 11153224124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378293760).

11153224124 is an abundant number, since it is smaller than the sum of its proper divisors (13603363396).

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

11153224124 is a wasteful number, since it uses less digits than its factorization.

11153224124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9545 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

Adding to 11153224124 its reverse (42142235111), we get a palindrome (53295459235).

The spelling of 11153224124 in words is "eleven billion, one hundred fifty-three million, two hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 97 133 161 194 266 322 388 437 532 644 679 874 1358 1748 1843 2231 2716 3059 3686 4462 6118 7372 8924 9397 12236 12901 15617 18794 25802 31234 37588 42389 51604 62468 65779 84778 131558 169556 178543 216131 263116 296723 357086 432262 593446 714172 864524 911509 1186892 1249801 1512917 1823018 2499602 3025834 3646036 4106489 4999204 6051668 6380563 8212978 12761126 16425956 17318671 20964707 25522252 28745423 34637342 41929414 57490846 69274684 83858828 114981692 121230697 146752949 242461394 293505898 398329433 484922788 587011796 796658866 1593317732 2788306031 5576612062 11153224124