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202300320132 = 223229193774253
BaseRepresentation
bin1011110001101000001…
…0011110100110000100
3201100011122202001111100
42330122002132212010
511303302340221012
6232534021540100
720421122230461
oct2743202364604
9640148661440
10202300320132
1178882290819
1233259b74630
13160cca76c51
149b117d4668
1553e03aa8dc
hex2f1a09e984

202300320132 has 36 divisors (see below), whose sum is σ = 529003713420. Its totient is φ = 65108148672.

The previous prime is 202300320107. The next prime is 202300320133. The reversal of 202300320132 is 231023003202.

It is a happy number.

202300320132 is a `hidden beast` number, since 202 + 300 + 32 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52921162116 + 149379158016 = 230046^2 + 386496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (202300320133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 96886083 + ... + 96888170.

It is an arithmetic number, because the mean of its divisors is an integer number (14694547595).

Almost surely, 2202300320132 is an apocalyptic number.

It is an amenable number.

202300320132 is an abundant number, since it is smaller than the sum of its proper divisors (326703393288).

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

202300320132 is a wasteful number, since it uses less digits than its factorization.

202300320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193774292 (or 193774287 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 202300320132 its reverse (231023003202), we get a palindrome (433323323334).

The spelling of 202300320132 in words is "two hundred two billion, three hundred million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 193774253 387548506 581322759 775097012 1162645518 1743968277 2325291036 3487936554 5619453337 6975873108 11238906674 16858360011 22477813348 33716720022 50575080033 67433440044 101150160066 202300320132