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11012014224 = 2432194638693
BaseRepresentation
bin10100100000101111…
…00000000010010000
31001102110001021122200
422100113200002100
5140023033423344
65020413403200
7536613401511
oct122027400220
931373037580
1011012014224
114740aa4302
122173a99500
131066572c63
1476671aa08
15446b64069
hex2905e0090

11012014224 has 120 divisors (see below), whose sum is σ = 32514168960. Its totient is φ = 3469568256.

The previous prime is 11012014217. The next prime is 11012014229. The reversal of 11012014224 is 42241021011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11012014197 and 11012014206.

It is not an unprimeable number, because it can be changed into a prime (11012014229) 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, 1262422 + ... + 1271114.

It is an arithmetic number, because the mean of its divisors is an integer number (270951408).

Almost surely, 211012014224 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 11012014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257084480).

11012014224 is an abundant number, since it is smaller than the sum of its proper divisors (21502154736).

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

11012014224 is a wasteful number, since it uses less digits than its factorization.

11012014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9180 counting only the distinct ones).

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

Adding to 11012014224 its reverse (42241021011), we get a palindrome (53253035235).

The spelling of 11012014224 in words is "eleven billion, twelve million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 463 684 912 926 1368 1389 1852 2736 2778 3704 4167 5556 7408 8334 8693 8797 11112 16668 17386 17594 22224 26079 26391 33336 34772 35188 52158 52782 66672 69544 70376 78237 79173 104316 105564 139088 140752 156474 158346 165167 208632 211128 312948 316692 330334 417264 422256 495501 625896 633384 660668 991002 1251792 1266768 1321336 1486503 1982004 2642672 2973006 3964008 4024859 5946012 7928016 8049718 11892024 12074577 16099436 23784048 24149154 32198872 36223731 48298308 64397744 72447462 76472321 96596616 144894924 152944642 193193232 229416963 289789848 305889284 458833926 579579696 611778568 688250889 917667852 1223557136 1376501778 1835335704 2753003556 3670671408 5506007112 11012014224