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20122110010112 = 281135292024833
BaseRepresentation
bin1001001001101000010110…
…01110000010001100000000
32122020122200102222201212212
410210310023032002030000
510114140040130310422
6110443545243241252
74144526434002155
oct444641316021400
978218612881785
1020122110010112
116458814577a70
12230b971b19228
13b2c6786822a6
144d7cb58d822c
1524d6501ce9e2
hex124d0b382300

20122110010112 has 72 divisors (see below), whose sum is σ = 43829475770640. Its totient is φ = 9143817338880.

The previous prime is 20122110010103. The next prime is 20122110010127. The reversal of 20122110010112 is 21101001122102.

It is a super-2 number, since 2×201221100101122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8925248 + ... + 10950080.

Almost surely, 220122110010112 is an apocalyptic number.

20122110010112 is a gapful number since it is divisible by the number (22) 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 20122110010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21914737885320).

20122110010112 is an abundant number, since it is smaller than the sum of its proper divisors (23707365760528).

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

20122110010112 is a wasteful number, since it uses less digits than its factorization.

20122110010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028389 (or 2028375 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20122110010112 its reverse (21101001122102), we get a palindrome (41223111132214).

The spelling of 20122110010112 in words is "twenty trillion, one hundred twenty-two billion, one hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3529 7058 14116 28232 38819 56464 77638 112928 155276 225856 310552 451712 621104 903424 1242208 2024833 2484416 4049666 4968832 8099332 9937664 16198664 22273163 32397328 44546326 64794656 89092652 129589312 178185304 259178624 356370608 518357248 712741216 1425482432 2850964864 5701929728 7145635657 14291271314 28582542628 57165085256 78601992227 114330170512 157203984454 228660341024 314407968908 457320682048 628815937816 914641364096 1257631875632 1829282728192 2515263751264 5030527502528 10061055005056 20122110010112