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11010663224 = 23111723973299
BaseRepresentation
bin10100100000100100…
…10110001100111000
31001102100111122102122
422100102112030320
5140022212210344
65020324420412
7536566043651
oct122022261470
931370448378
1011010663224
114740261280
122173547708
1310661bc052
14766488528
15446998aee
hex290496338

11010663224 has 128 divisors (see below), whose sum is σ = 25147584000. Its totient is φ = 4457840640.

The previous prime is 11010663217. The next prime is 11010663227. The reversal of 11010663224 is 42236601011.

It is a junction number, because it is equal to n+sod(n) for n = 11010663193 and 11010663202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010663227) 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, 3335927 + ... + 3339225.

It is an arithmetic number, because the mean of its divisors is an integer number (196465500).

Almost surely, 211010663224 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 11010663224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792000).

11010663224 is an abundant number, since it is smaller than the sum of its proper divisors (14136920776).

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

11010663224 is a wasteful number, since it uses less digits than its factorization.

11010663224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 11010663224 in words is "eleven billion, ten million, six hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 97 136 184 187 194 253 374 388 391 506 748 776 782 1012 1067 1496 1564 1649 2024 2134 2231 3128 3298 3299 4268 4301 4462 6596 6598 8536 8602 8924 13192 13196 17204 17848 18139 24541 26392 34408 36278 36289 37927 49082 56083 72556 72578 75854 75877 98164 112166 145112 145156 151708 151754 196328 224332 290312 303416 303508 320003 417197 448664 607016 616913 640006 834394 834647 1233826 1280012 1289909 1668788 1669294 2467652 2560024 2579818 3337576 3338588 3520033 4935304 5159636 5440051 6677176 7040066 7360069 10319272 10880102 14080132 14188999 14720138 21760204 28160264 28377998 29440276 43520408 56755996 58880552 59840561 80960759 113511992 119681122 125121173 161921518 239362244 250242346 323843036 478724488 500484692 647686072 1000969384 1376332903 2752665806 5505331612 11010663224