Search a number
-
+
122210303112 = 23326179734913
BaseRepresentation
bin111000111010001001…
…1010011110010001000
3102200110001020122100200
41301310103103302020
54000241314144422
6132050450532200
711554325302542
oct1616423236210
9380401218320
10122210303112
1147913591607
121b827b97060
13b6a80b5531
145cb4b06692
1532a405a2ac
hex1c744d3c88

122210303112 has 96 divisors (see below), whose sum is σ = 336843987480. Its totient is φ = 40017530880.

The previous prime is 122210303099. The next prime is 122210303167. The reversal of 122210303112 is 211303012221.

It can be written as a sum of positive squares in 4 ways, for example, as 70168831236 + 52041471876 = 264894^2 + 228126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 3482968 + ... + 3517880.

Almost surely, 2122210303112 is an apocalyptic number.

122210303112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122210303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168421993740).

122210303112 is an abundant number, since it is smaller than the sum of its proper divisors (214633684368).

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

122210303112 is a wasteful number, since it uses less digits than its factorization.

122210303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35783 (or 35776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122210303112 its reverse (211303012221), we get a palindrome (333513315333).

The spelling of 122210303112 in words is "one hundred twenty-two billion, two hundred ten million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 797 1098 1464 1594 2196 2391 3188 4392 4782 6376 7173 9564 14346 19128 28692 34913 48617 57384 69826 97234 104739 139652 145851 194468 209478 279304 291702 314217 388936 418956 437553 583404 628434 837912 875106 1166808 1256868 1750212 2129693 2513736 3500424 4259386 6389079 8518772 12778158 17037544 19167237 25556316 27825661 38334474 51112632 55651322 76668948 83476983 111302644 153337896 166953966 222605288 250430949 333907932 500861898 667815864 1001723796 1697365321 2003447592 3394730642 5092095963 6789461284 10184191926 13578922568 15276287889 20368383852 30552575778 40736767704 61105151556 122210303112