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22010110112 = 2519318913121
BaseRepresentation
bin10100011111111001…
…111010000010100000
32002210220220102221102
4110133321322002200
5330034042010422
614040013013532
71406300564144
oct243771720240
962726812842
1022010110112
119375151551
1243231842a8
1320c9c819c3
1410cb253224
1588c479192
hex51fe7a0a0

22010110112 has 96 divisors (see below), whose sum is σ = 47617113600. Its totient is φ = 9975398400.

The previous prime is 22010110099. The next prime is 22010110127. The reversal of 22010110112 is 21101101022.

Adding to 22010110112 its reverse (21101101022), we get a palindrome (43111211134).

It is a junction number, because it is equal to n+sod(n) for n = 22010110093 and 22010110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1670912 + ... + 1684032.

It is an arithmetic number, because the mean of its divisors is an integer number (496011600).

Almost surely, 222010110112 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 22010110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808556800).

22010110112 is an abundant number, since it is smaller than the sum of its proper divisors (25607003488).

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

22010110112 is a wasteful number, since it uses less digits than its factorization.

22010110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270 (or 13262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The spelling of 22010110112 in words is "twenty-two billion, ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 89 124 152 178 248 304 356 496 589 608 712 992 1178 1424 1691 2356 2759 2848 3382 4712 5518 6764 9424 11036 13121 13528 18848 22072 26242 27056 44144 52421 52484 54112 88288 104842 104968 209684 209936 249299 406751 419368 419872 498598 813502 838736 997196 1167769 1627004 1677472 1994392 2335538 3254008 3988784 4671076 6508016 7728269 7977568 9342152 13016032 15456538 18684304 22187611 30913076 36200839 37368608 44375222 61826152 72401678 88750444 123652304 144803356 177500888 247304608 289606712 355001776 579213424 687815941 710003552 1158426848 1375631882 2751263764 5502527528 11005055056 22010110112