Search a number
-
+
112221202222112 = 2517219936088633
BaseRepresentation
bin11001100001000010001000…
…111001010000110000100000
3112201100020112112101210112012
4121201002020321100300200
5104202113010232101422
61034401413020052052
732431500002060354
oct3141021071206040
9481306475353465
10112221202222112
1132836821065495
1210705279694028
134a8054c621349
141d9d76c705464
15ce91e72094e2
hex661088e50c20

112221202222112 has 72 divisors (see below), whose sum is σ = 234813978766836. Its totient is φ = 52783471116288.

The previous prime is 112221202222081. The next prime is 112221202222117. The reversal of 112221202222112 is 211222202122211.

It can be written as a sum of positive squares in 6 ways, for example, as 64452701723536 + 47768500498576 = 8028244^2 + 6911476^2 .

It is not an unprimeable number, because it can be changed into a prime (112221202222117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15386948 + ... + 21475580.

Almost surely, 2112221202222112 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 112221202222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117406989383418).

112221202222112 is an abundant number, since it is smaller than the sum of its proper divisors (122592776544724).

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

112221202222112 is a wasteful number, since it uses less digits than its factorization.

112221202222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090670 (or 6090645 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 112221202222112 its reverse (211222202122211), we get a palindrome (323443404344323).

Subtracting 112221202222112 from its reverse (211222202122211), we obtain a palindrome (99000999900099).

The spelling of 112221202222112 in words is "one hundred twelve trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 1993 2312 3986 4624 7972 9248 15944 31888 33881 63776 67762 135524 271048 542096 575977 1084192 1151954 2303908 4607816 6088633 9215632 12177266 18431264 24354532 48709064 97418128 103506761 194836256 207013522 414027044 828054088 1656108176 1759614937 3312216352 3519229874 7038459748 12134645569 14076919496 24269291138 28153838992 48538582276 56307677984 97077164552 194154329104 206288974673 388308658208 412577949346 825155898692 1650311797384 3300623594768 3506912569441 6601247189536 7013825138882 14027650277764 28055300555528 56110601111056 112221202222112