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21112453224 = 23337310091327
BaseRepresentation
bin10011101010011001…
…100111100001101000
32000111100210202012000
4103222121213201220
5321214242000344
613410545051000
71345120614522
oct235231474150
960440722160
1021112453224
118a5447a655
124112626a60
131cb5cc8995
141043d46a12
15838761a69
hex4ea667868

21112453224 has 128 divisors (see below), whose sum is σ = 59552832000. Its totient is φ = 6928975872.

The previous prime is 21112453223. The next prime is 21112453237. The reversal of 21112453224 is 42235421112.

21112453224 is a `hidden beast` number, since 2 + 1 + 1 + 124 + 532 + 2 + 4 = 666.

It is a super-2 number, since 2×211124532242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21112453223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15909249 + ... + 15910575.

It is an arithmetic number, because the mean of its divisors is an integer number (465256500).

Almost surely, 221112453224 is an apocalyptic number.

21112453224 is a gapful number since it is divisible by the number (24) 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 21112453224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29776416000).

21112453224 is an abundant number, since it is smaller than the sum of its proper divisors (38440378776).

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

21112453224 is a wasteful number, since it uses less digits than its factorization.

21112453224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2414 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 21112453224 its reverse (42235421112), we get a palindrome (63347874336).

The spelling of 21112453224 in words is "twenty-one billion, one hundred twelve million, four hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1009 1314 1327 1752 1971 2018 2628 2654 3027 3942 3981 4036 5256 5308 6054 7884 7962 8072 9081 10616 11943 12108 15768 15924 18162 23886 24216 27243 31848 35829 36324 47772 54486 71658 72648 73657 95544 96871 108972 143316 147314 193742 217944 220971 286632 290613 294628 387484 441942 581226 589256 662913 774968 871839 883884 1162452 1325826 1338943 1743678 1767768 1988739 2324904 2615517 2651652 2677886 3487356 3977478 4016829 5231034 5303304 5355772 6974712 7954956 8033658 10462068 10711544 12050487 15909912 16067316 20924136 24100974 32134632 36151461 48201948 72302922 96403896 97742839 144605844 195485678 289211688 293228517 390971356 586457034 781942712 879685551 1172914068 1759371102 2345828136 2639056653 3518742204 5278113306 7037484408 10556226612 21112453224