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202124013 = 37131494969
BaseRepresentation
bin11000000110000…
…10101011101101
3112002022222000120
430003002223231
5403220432023
632020115153
75003011560
oct1403025355
9462288016
10202124013
11a4103843
1257835ab9
1332b4c010
141cbb64d7
1512b288e3
hexc0c2aed

202124013 has 32 divisors (see below), whose sum is σ = 333984000. Its totient is φ = 105878016.

The previous prime is 202124003. The next prime is 202124057. The reversal of 202124013 is 310421202.

It is not a de Polignac number, because 202124013 - 25 = 202123981 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202123983 and 202124001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202124003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38193 + ... + 43161.

It is an arithmetic number, because the mean of its divisors is an integer number (10437000).

Almost surely, 2202124013 is an apocalyptic number.

It is an amenable number.

202124013 is a deficient number, since it is larger than the sum of its proper divisors (131859987).

202124013 is a wasteful number, since it uses less digits than its factorization.

202124013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141.

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

The square root of 202124013 is about 14217.0324962701. The cubic root of 202124013 is about 586.8664791934.

Adding to 202124013 its reverse (310421202), we get a palindrome (512545215).

The spelling of 202124013 in words is "two hundred two million, one hundred twenty-four thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 149 273 447 1043 1937 3129 4969 5811 13559 14907 34783 40677 64597 104349 193791 452179 740381 1356537 2221143 5182667 9624953 15548001 28874859 67374671 202124013