Search a number
-
+
112200131331222 = 2311178091069115631
BaseRepresentation
bin11001100000101110100000…
…111110001100010010010110
3112201021020011001210122010220
4121200232200332030102112
5104201241332110044342
61034344010113455210
732430122564335524
oct3140564076142226
9481236131718126
10112200131331222
11328288990a3280
1210701178b71506
134a7b57211837c
141d9c7300db314
15ce88b24575ec
hex660ba0f8c496

112200131331222 has 128 divisors (see below), whose sum is σ = 259765715404800. Its totient is φ = 31930308710400.

The previous prime is 112200131331217. The next prime is 112200131331227. The reversal of 112200131331222 is 222133131002211.

It is an interprime number because it is at equal distance from previous prime (112200131331217) and next prime (112200131331227).

It is a junction number, because it is equal to n+sod(n) for n = 112200131331192 and 112200131331201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200131331227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970271347 + ... + 970386977.

It is an arithmetic number, because the mean of its divisors is an integer number (2029419651600).

Almost surely, 2112200131331222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200131331222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129882857702400).

112200131331222 is an abundant number, since it is smaller than the sum of its proper divisors (147565584073578).

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

112200131331222 is a wasteful number, since it uses less digits than its factorization.

112200131331222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117542.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 112200131331222 its reverse (222133131002211), we get a palindrome (334333262333433).

The spelling of 112200131331222 in words is "one hundred twelve trillion, two hundred billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 809 1069 1122 1618 2138 2427 3207 4854 6414 8899 11759 13753 17798 18173 23518 26697 27506 35277 36346 41259 53394 54519 70554 82518 109038 115631 151283 199903 231262 302566 346893 399806 453849 599709 693786 864821 907698 1199418 1271941 1729642 1965727 2543882 2594463 3815823 3931454 5188926 5897181 7631646 9513031 11794362 14701957 19026062 21622997 28539093 29403914 43245994 44105871 57078186 64868991 88211742 93545479 123609539 129737982 161721527 187090958 247219078 280636437 323443054 370828617 485164581 561272874 741657234 970329162 1029000269 1359704929 1590273143 2058000538 2101362163 2719409858 3087000807 3180546286 4079114787 4202724326 4770819429 6174001614 6304086489 8158229574 9541638858 12608172978 17493004573 23114983793 34986009146 46229967586 52479013719 69344951379 100000117051 104958027438 138689902758 200000234102 300000351153 600000702306 1100001287561 1700001989867 2200002575122 3300003862683 3400003979734 5100005969601 6600007725366 10200011939202 18700021888537 37400043777074 56100065665611 112200131331222