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202124120 = 23511459373
BaseRepresentation
bin11000000110000…
…10101101011000
3112002022222011112
430003002231120
5403220432440
632020115452
75003012102
oct1403025530
9462288145
10202124120
11a4103930
1257835b88
1332b4c093
141cbb6572
1512b28965
hexc0c2b58

202124120 has 32 divisors (see below), whose sum is σ = 496123920. Its totient is φ = 73499520.

The previous prime is 202124099. The next prime is 202124191. The reversal of 202124120 is 21421202.

It is a super-3 number, since 3×2021241203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202124095 and 202124104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229247 + ... + 230126.

Almost surely, 2202124120 is an apocalyptic number.

202124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202124120 is an abundant number, since it is smaller than the sum of its proper divisors (293999800).

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

202124120 is a wasteful number, since it uses less digits than its factorization.

202124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459395 (or 459391 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 202124120 is about 14217.0362593615. The cubic root of 202124120 is about 586.8665827515.

Adding to 202124120 its reverse (21421202), we get a palindrome (223545322).

The spelling of 202124120 in words is "two hundred two million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 459373 918746 1837492 2296865 3674984 4593730 5053103 9187460 10106206 18374920 20212412 25265515 40424824 50531030 101062060 202124120