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22011122112 = 263748733629
BaseRepresentation
bin10100011111111101…
…110001000111000000
32002210222210212010220
4110133331301013000
5330034321401422
614040050423040
71406312310450
oct243775610700
962728725126
1022011122112
119375782911
124323591a80
1320ca247515
1410cb437d60
1588c5c8e5c
hex51ff711c0

22011122112 has 112 divisors (see below), whose sum is σ = 66696092160. Its totient is φ = 6275791872.

The previous prime is 22011122069. The next prime is 22011122149. The reversal of 22011122112 is 21122111022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22011122091 and 22011122100.

It is a congruent number.

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, 637714 + ... + 671342.

Almost surely, 222011122112 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 22011122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33348046080).

22011122112 is an abundant number, since it is smaller than the sum of its proper divisors (44684970048).

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

22011122112 is a wasteful number, since it uses less digits than its factorization.

22011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34138 (or 34128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22011122112 its reverse (21122111022), we get a palindrome (43133233134).

The spelling of 22011122112 in words is "twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 487 672 974 1344 1461 1948 2922 3409 3896 5844 6818 7792 10227 11688 13636 15584 20454 23376 27272 31168 33629 40908 46752 54544 67258 81816 93504 100887 109088 134516 163632 201774 218176 235403 269032 327264 403548 470806 538064 654528 706209 807096 941612 1076128 1412418 1614192 1883224 2152256 2824836 3228384 3766448 5649672 6456768 7532896 11299344 15065792 16377323 22598688 32754646 45197376 49131969 65509292 98263938 114641261 131018584 196527876 229282522 262037168 343923783 393055752 458565044 524074336 687847566 786111504 917130088 1048148672 1375695132 1572223008 1834260176 2751390264 3144446016 3668520352 5502780528 7337040704 11005561056 22011122112