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103303222322200 = 2352171311391668587
BaseRepresentation
bin10111011111010000100111…
…110111101110010000011000
3111112202200200011212202112121
4113133100213313232100120
5102020004444403302300
61003412502320551024
730521261102462245
oct2737204767562030
9445680604782477
10103303222322200
112aa0871798954a
12b704a34182474
1345845b525a674
141b71c8cba65cc
15be224952e81a
hex5df427dee418

103303222322200 has 192 divisors, whose sum is σ = 258093187228800. Its totient is φ = 38316074035200.

The previous prime is 103303222322191. The next prime is 103303222322207. The reversal of 103303222322200 is 2223222303301.

It is a super-2 number, since 2×1033032223222002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103303222322207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61076307 + ... + 62744893.

It is an arithmetic number, because the mean of its divisors is an integer number (1344235350150).

Almost surely, 2103303222322200 is an apocalyptic number.

103303222322200 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 103303222322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129046593614400).

103303222322200 is an abundant number, since it is smaller than the sum of its proper divisors (154789964906600).

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

103303222322200 is a wasteful number, since it uses less digits than its factorization.

103303222322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668890 (or 1668881 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 103303222322200 its reverse (2223222303301), we get a palindrome (105526444625501).

The spelling of 103303222322200 in words is "one hundred three trillion, three hundred three billion, two hundred twenty-two million, three hundred twenty-two thousand, two hundred".