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202124142 = 232112935201
BaseRepresentation
bin11000000110000…
…10101101101110
3112002022222012100
430003002231232
5403220433032
632020115530
75003012133
oct1403025556
9462288170
10202124142
11a4103950
1257835ba6
1332b4c0ac
141cbb658a
1512b2897c
hexc0c2b6e

202124142 has 48 divisors (see below), whose sum is σ = 494236080. Its totient is φ = 59136000.

The previous prime is 202124099. The next prime is 202124191. The reversal of 202124142 is 241421202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11859 + ... + 23342.

It is an arithmetic number, because the mean of its divisors is an integer number (10296585).

Almost surely, 2202124142 is an apocalyptic number.

202124142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202124142 is an abundant number, since it is smaller than the sum of its proper divisors (292111938).

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

202124142 is a wasteful number, since it uses less digits than its factorization.

202124142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35249 (or 35246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 202124142 is about 14217.0370330811. The cubic root of 202124142 is about 586.8666040438.

Adding to 202124142 its reverse (241421202), we get a palindrome (443545344).

The spelling of 202124142 in words is "two hundred two million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 35201 70402 105603 211206 316809 387211 633618 774422 1020829 1161633 2041658 2323266 3062487 3484899 6124974 6969798 9187461 11229119 18374922 22458238 33687357 67374714 101062071 202124142