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20301123312 = 2434116313469
BaseRepresentation
bin10010111010000010…
…101000111011110000
31221101211010220210000
4102322002220323300
5313034041421222
613154243310000
71316036462301
oct227202507360
957354126700
1020301123312
118678500468
123b2697b300
131bb6ba9b02
14da82ac7a8
157dc3ec9ac
hex4ba0a8ef0

20301123312 has 100 divisors (see below), whose sum is σ = 58812229080. Its totient is φ = 6760720512.

The previous prime is 20301123299. The next prime is 20301123313. The reversal of 20301123312 is 21332110302.

20301123312 is a `hidden beast` number, since 20 + 301 + 12 + 331 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301123313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1500514 + ... + 1513982.

Almost surely, 220301123312 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 20301123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29406114540).

20301123312 is an abundant number, since it is smaller than the sum of its proper divisors (38511105768).

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

20301123312 is a wasteful number, since it uses less digits than its factorization.

20301123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14652 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20301123312 its reverse (21332110302), we get a palindrome (41633233614).

The spelling of 20301123312 in words is "twenty billion, three hundred one million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1163 1296 2326 3489 4652 6978 9304 10467 13469 13956 18608 20934 26938 27912 31401 40407 41868 53876 55824 62802 80814 83736 94203 107752 121221 125604 161628 167472 188406 215504 242442 251208 323256 363663 376812 484884 502416 646512 727326 753624 969768 1090989 1454652 1507248 1939536 2181978 2909304 4363956 5818608 8727912 15664447 17455824 31328894 46993341 62657788 93986682 125315576 140980023 187973364 250631152 281960046 375946728 422940069 563920092 751893456 845880138 1127840184 1268820207 1691760276 2255680368 2537640414 3383520552 5075280828 6767041104 10150561656 20301123312