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202122003120 = 2435842175013
BaseRepresentation
bin1011110000111101101…
…0010000001010110000
3201022201020012121112120
42330033122100022300
511302421213044440
6232504211554240
720413525452012
oct2741732201260
9638636177476
10202122003120
11787a0668594
123320a2bb980
13160a1b4211b
149ad5c581b2
1553ce8d5dd0
hex2f0f6902b0

202122003120 has 40 divisors (see below), whose sum is σ = 626578210416. Its totient is φ = 53899200768.

The previous prime is 202122003119. The next prime is 202122003169. The reversal of 202122003120 is 21300221202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 202122003120.

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 7 ways as a sum of consecutive naturals, for example, 421087267 + ... + 421087746.

Almost surely, 2202122003120 is an apocalyptic number.

202122003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122003120 is an abundant number, since it is smaller than the sum of its proper divisors (424456207296).

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

202122003120 is a wasteful number, since it uses less digits than its factorization.

202122003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842175029 (or 842175023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202122003120 its reverse (21300221202), we get a palindrome (223422224322).

The spelling of 202122003120 in words is "two hundred two billion, one hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 842175013 1684350026 2526525039 3368700052 4210875065 5053050078 6737400104 8421750130 10106100156 12632625195 13474800208 16843500260 20212200312 25265250390 33687000520 40424400624 50530500780 67374001040 101061001560 202122003120