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20211310112 = 2572911712657
BaseRepresentation
bin10010110100101100…
…000001111000100000
31221011120010221020012
4102310230001320200
5312343043410422
613141314304052
71313566205240
oct226454017040
957146127205
1020211310112
118631837484
123b00888028
131ba13c1bc6
14d9a3adb20
157d45ab4e2
hex4b4b01e20

20211310112 has 96 divisors (see below), whose sum is σ = 47101461120. Its totient is φ = 8353013760.

The previous prime is 20211310109. The next prime is 20211310117. The reversal of 20211310112 is 21101311202.

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 (20211310117) 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 15 ways as a sum of consecutive naturals, for example, 7605488 + ... + 7608144.

It is an arithmetic number, because the mean of its divisors is an integer number (490640220).

Almost surely, 220211310112 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 20211310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23550730560).

20211310112 is an abundant number, since it is smaller than the sum of its proper divisors (26890151008).

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

20211310112 is a wasteful number, since it uses less digits than its factorization.

20211310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20211310112 its reverse (21101311202), we get a palindrome (41312621314).

The spelling of 20211310112 in words is "twenty billion, two hundred eleven million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1171 1624 2342 2657 3248 4684 5314 6496 8197 9368 10628 16394 18599 18736 21256 32788 33959 37198 37472 42512 65576 67918 74396 77053 85024 131152 135836 148792 154106 237713 262304 271672 297584 308212 475426 539371 543344 595168 616424 950852 1078742 1086688 1232848 1901704 2157484 2465696 3111347 3803408 4314968 6222694 7606816 8629936 12445388 17259872 21779429 24890776 43558858 49781552 87117716 90229063 99563104 174235432 180458126 348470864 360916252 631603441 696941728 721832504 1263206882 1443665008 2526413764 2887330016 5052827528 10105655056 20211310112