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20330002112 = 2671371392383
BaseRepresentation
bin10010111011110000…
…110011011011000000
31221110211111010001012
4102323300303123000
5313113440031422
613201154300052
71316540111120
oct227360633300
957424433035
1020330002112
118692835542
123b34587628
131bbcb7b664
14dac068c80
157dec044e2
hex4bbc336c0

20330002112 has 112 divisors (see below), whose sum is σ = 46795822080. Its totient is φ = 8583432192.

The previous prime is 20330002111. The next prime is 20330002127. The reversal of 20330002112 is 21120003302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20330002111) 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 15 ways as a sum of consecutive naturals, for example, 8530073 + ... + 8532455.

It is an arithmetic number, because the mean of its divisors is an integer number (417819840).

Almost surely, 220330002112 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 20330002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23397911040).

20330002112 is an abundant number, since it is smaller than the sum of its proper divisors (26465819968).

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

20330002112 is a wasteful number, since it uses less digits than its factorization.

20330002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20330002112 its reverse (21120003302), we get a palindrome (41450005414).

The spelling of 20330002112 in words is "twenty billion, three hundred thirty million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 137 139 224 274 278 448 548 556 959 973 1096 1112 1918 1946 2192 2224 2383 3836 3892 4384 4448 4766 7672 7784 8768 8896 9532 15344 15568 16681 19043 19064 30688 31136 33362 38086 38128 61376 62272 66724 76172 76256 133301 133448 152344 152512 266602 266896 304688 326471 331237 533204 533792 609376 652942 662474 1066408 1067584 1218752 1305884 1324948 2132816 2285297 2318659 2611768 2649896 4265632 4570594 4637318 5223536 5299792 8531264 9141188 9274636 10447072 10599584 18282376 18549272 20894144 21199168 36564752 37098544 45379469 73129504 74197088 90758938 146259008 148394176 181517876 317656283 363035752 635312566 726071504 1270625132 1452143008 2541250264 2904286016 5082500528 10165001056 20330002112