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103313222200 = 23521976014363
BaseRepresentation
bin110000000110111110…
…0101010101000111000
3100212200002001110200001
41200031330222220320
53143041141102300
6115243400522344
710315124620306
oct1401574525070
9325602043601
10103313222200
113a8a6690a71
12180334803b4
139986071156
1450010bd276
152a4a05016a
hex180df2aa38

103313222200 has 96 divisors (see below), whose sum is σ = 241879674960. Its totient is φ = 41037696000.

The previous prime is 103313222147. The next prime is 103313222203. The reversal of 103313222200 is 2222313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313222203) by changing a digit.

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, 23677219 + ... + 23681581.

Almost surely, 2103313222200 is an apocalyptic number.

103313222200 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 103313222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120939837480).

103313222200 is an abundant number, since it is smaller than the sum of its proper divisors (138566452760).

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

103313222200 is a wasteful number, since it uses less digits than its factorization.

103313222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 103313222200 its reverse (2222313301), we get a palindrome (105535535501).

The spelling of 103313222200 in words is "one hundred three billion, three hundred thirteen million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 601 788 985 1202 1576 1970 2404 3005 3940 4363 4808 4925 6010 7880 8726 9850 12020 15025 17452 19700 21815 24040 30050 34904 39400 43630 60100 87260 109075 118397 120200 174520 218150 236794 436300 473588 591985 859511 872600 947176 1183970 1719022 2367940 2622163 2959925 3438044 4297555 4735880 5244326 5919850 6876088 8595110 10488652 11839700 13110815 17190220 20977304 21487775 23679400 26221630 34380440 42975550 52443260 65554075 85951100 104886520 131108150 171902200 262216300 516566111 524432600 1033132222 2066264444 2582830555 4132528888 5165661110 10331322220 12914152775 20662644440 25828305550 51656611100 103313222200