Search a number
-
+
10022232221300 = 22521371108583231
BaseRepresentation
bin1001000111010111101110…
…0101110110011001110100
31022111010010121002010001002
42101311323211312121310
52303201012422040200
633152052214422432
72053040154200105
oct221657345663164
938433117063032
1010022232221300
11321444a89aa32
12115a461361a18
13579128136860
14269115a7c3ac
15125a7bb42bd5
hex91d7b976674

10022232221300 has 72 divisors (see below), whose sum is σ = 23751061834752. Its totient is φ = 3648396528000.

The previous prime is 10022232221279. The next prime is 10022232221303. The reversal of 10022232221300 is 312223222001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022232221303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54199316 + ... + 54383915.

It is an arithmetic number, because the mean of its divisors is an integer number (329875858816).

Almost surely, 210022232221300 is an apocalyptic number.

10022232221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022232221300 is an abundant number, since it is smaller than the sum of its proper divisors (13728829613452).

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

10022232221300 is a wasteful number, since it uses less digits than its factorization.

10022232221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108583329 (or 108583322 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10022232221300 its reverse (312223222001), we get a palindrome (10334455443301).

The spelling of 10022232221300 in words is "ten trillion, twenty-two billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 650 710 923 1300 1420 1775 1846 3550 3692 4615 7100 9230 18460 23075 46150 92300 108583231 217166462 434332924 542916155 1085832310 1411582003 2171664620 2714580775 2823164006 5429161550 5646328012 7057910015 7709409401 10858323100 14115820030 15418818802 28231640060 30837637604 35289550075 38547047005 70579100150 77094094010 100222322213 141158200300 154188188020 192735235025 200444644426 385470470050 400889288852 501111611065 770940940100 1002223222130 2004446444260 2505558055325 5011116110650 10022232221300