Search a number
-
+
22110122112 = 2731333113381
BaseRepresentation
bin10100100101110111…
…011011000010000000
32010001220002120121120
4110211313123002000
5330240142401422
614053544352240
71411623636261
oct244567330200
963056076546
1022110122112
119416650aa1
124350775680
1321148caac0
1410da648968
1589613245c
hex525ddb080

22110122112 has 128 divisors (see below), whose sum is σ = 63443526720. Its totient is φ = 6782054400.

The previous prime is 22110122107. The next prime is 22110122119. The reversal of 22110122112 is 21122101122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22110122091 and 22110122100.

It is not an unprimeable number, because it can be changed into a prime (22110122119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645662 + ... + 1659042.

Almost surely, 222110122112 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 22110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721763360).

22110122112 is an abundant number, since it is smaller than the sum of its proper divisors (41333404608).

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

22110122112 is a wasteful number, since it uses less digits than its factorization.

22110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742 (or 13730 counting only the distinct ones).

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

Adding to 22110122112 its reverse (21122101122), we get a palindrome (43232223234).

The spelling of 22110122112 in words is "twenty-two billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 331 384 416 624 662 832 993 1248 1324 1664 1986 2496 2648 3972 4303 4992 5296 7944 8606 10592 12909 13381 15888 17212 21184 25818 26762 31776 34424 40143 42368 51636 53524 63552 68848 80286 103272 107048 127104 137696 160572 173953 206544 214096 275392 321144 347906 413088 428192 521859 550784 642288 695812 826176 856384 1043718 1284576 1391624 1652352 1712768 2087436 2569152 2783248 4174872 4429111 5138304 5566496 8349744 8858222 11132992 13287333 16699488 17716444 22265984 26574666 33398976 35432888 53149332 57578443 66797952 70865776 106298664 115156886 141731552 172735329 212597328 230313772 283463104 345470658 425194656 460627544 566926208 690941316 850389312 921255088 1381882632 1700778624 1842510176 2763765264 3685020352 5527530528 7370040704 11055061056 22110122112