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20160211104 = 25321161104323
BaseRepresentation
bin10010110001101001…
…000110100010100000
31221000222222211120100
4102301221012202200
5312242003223404
613132251142400
71312405652445
oct226151064240
957028884510
1020160211104
118605a05aa0
123aa7744a00
131b939404c7
14d936ab9cc
157ced65d39
hex4b1a468a0

20160211104 has 144 divisors (see below), whose sum is σ = 63568368864. Its totient is φ = 6008947200.

The previous prime is 20160211081. The next prime is 20160211111. The reversal of 20160211104 is 40111206102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×201602111042 (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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 141087 + ... + 245409.

It is an arithmetic number, because the mean of its divisors is an integer number (441447006).

Almost surely, 220160211104 is an apocalyptic number.

20160211104 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 20160211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31784184432).

20160211104 is an abundant number, since it is smaller than the sum of its proper divisors (43408157760).

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

20160211104 is a wasteful number, since it uses less digits than its factorization.

20160211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104411 (or 104400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20160211104 its reverse (40111206102), we get a palindrome (60271417206).

The spelling of 20160211104 in words is "twenty billion, one hundred sixty million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 122 132 144 176 183 198 244 264 288 352 366 396 488 528 549 671 732 792 976 1056 1098 1342 1464 1584 1952 2013 2196 2684 2928 3168 4026 4392 5368 5856 6039 8052 8784 10736 12078 16104 17568 21472 24156 32208 48312 64416 96624 104323 193248 208646 312969 417292 625938 834584 938907 1147553 1251876 1669168 1877814 2295106 2503752 3338336 3442659 3755628 4590212 5007504 6363703 6885318 7511256 9180424 10015008 10327977 12727406 13770636 15022512 18360848 19091109 20655954 25454812 27541272 30045024 36721696 38182218 41311908 50909624 55082544 57273327 70000733 76364436 82623816 101819248 110165088 114546654 140001466 152728872 165247632 203638496 210002199 229093308 280002932 305457744 330495264 420004398 458186616 560005864 610915488 630006597 840008796 916373232 1120011728 1260013194 1680017592 1832746464 2240023456 2520026388 3360035184 5040052776 6720070368 10080105552 20160211104