Search a number
-
+
110022300101220 = 223513538369318007
BaseRepresentation
bin11001000001000010010000…
…000111010110101001100100
3112102120000210021010022001220
4121001002100013112221210
5103410101132311214340
61025555314044220340
732113564106326113
oct3101022007265144
9472500707108056
10110022300101220
113206921714a311
121040b08583a6b0
13495109b358320
141d251718bdc7a
15cabdec36eed0
hex6410901d6a64

110022300101220 has 192 divisors, whose sum is σ = 338060617735680. Its totient is φ = 26568164892672.

The previous prime is 110022300101213. The next prime is 110022300101237. The reversal of 110022300101220 is 22101003220011.

It is a super-3 number, since 3×1100223001012203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110022300101220.

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 63 ways as a sum of consecutive naturals, for example, 345815457 + ... + 346133463.

It is an arithmetic number, because the mean of its divisors is an integer number (1760732384040).

Almost surely, 2110022300101220 is an apocalyptic number.

110022300101220 is a gapful number since it is divisible by the number (10) 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 110022300101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169030308867840).

110022300101220 is an abundant number, since it is smaller than the sum of its proper divisors (228038317634460).

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

110022300101220 is a wasteful number, since it uses less digits than its factorization.

110022300101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326454 (or 326452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 110022300101220 its reverse (22101003220011), we get a palindrome (132123303321231).

The spelling of 110022300101220 in words is "one hundred ten trillion, twenty-two billion, three hundred million, one hundred one thousand, two hundred twenty".