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20122110112 = 2513177338977
BaseRepresentation
bin10010101111010111…
…110000100010100000
31220221100022002211111
4102233113300202200
5312202230010422
613124410353104
71311434054026
oct225727604240
956840262744
1020122110112
118596452175
123a96a2b794
131b88a90140
14d8c5d0716
157cb83ba77
hex4af5f08a0

20122110112 has 96 divisors (see below), whose sum is σ = 45792289872. Its totient is φ = 8620867584.

The previous prime is 20122110097. The next prime is 20122110121. The reversal of 20122110112 is 21101122102.

It can be written as a sum of positive squares in 8 ways, for example, as 4705411216 + 15416698896 = 68596^2 + 124164^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 20122110092 and 20122110101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496768 + ... + 535744.

Almost surely, 220122110112 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 20122110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896144936).

20122110112 is an abundant number, since it is smaller than the sum of its proper divisors (25670179760).

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

20122110112 is a wasteful number, since it uses less digits than its factorization.

20122110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39090 (or 39082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20122110112 its reverse (21101122102), we get a palindrome (41223232214).

The spelling of 20122110112 in words is "twenty billion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 73 104 136 146 208 221 272 292 416 442 544 584 884 949 1168 1241 1768 1898 2336 2482 3536 3796 4964 7072 7592 9928 15184 16133 19856 30368 32266 38977 39712 64532 77954 129064 155908 258128 311816 506701 516256 623632 662609 1013402 1247264 1325218 2026804 2650436 2845321 4053608 5300872 5690642 8107216 8613917 10601744 11381284 16214432 17227834 21203488 22762568 34455668 36989173 45525136 48370457 68911336 73978346 91050272 96740914 137822672 147956692 193481828 275645344 295913384 386963656 591826768 628815941 773927312 1183653536 1257631882 1547854624 2515263764 5030527528 10061055056 20122110112