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203122003122 = 23289126792761
BaseRepresentation
bin1011110100101100000…
…0111100110010110010
3201102021220212212122200
42331023000330302302
511311443213044442
6233151333244030
720450360352633
oct2751300746262
9642256785580
10203122003122
1179164091375
1233449193616
131620107c2bc
149b8c9a588a
15543c5b734c
hex2f4b03ccb2

203122003122 has 24 divisors (see below), whose sum is σ = 445042594620. Its totient is φ = 66946577280.

The previous prime is 203122003121. The next prime is 203122003129. The reversal of 203122003122 is 221300221302.

203122003122 is a `hidden beast` number, since 20 + 312 + 20 + 0 + 312 + 2 = 666.

203122003122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 184393806921 + 18728196201 = 429411^2 + 136851^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 203122003095 and 203122003104.

It is not an unprimeable number, because it can be changed into a prime (203122003121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63394779 + ... + 63397982.

Almost surely, 2203122003122 is an apocalyptic number.

203122003122 is an abundant number, since it is smaller than the sum of its proper divisors (241920591498).

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

203122003122 is a wasteful number, since it uses less digits than its factorization.

203122003122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126792858 (or 126792855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203122003122 its reverse (221300221302), we get a palindrome (424422224424).

The spelling of 203122003122 in words is "two hundred three billion, one hundred twenty-two million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 126792761 253585522 380378283 760756566 1141134849 2282269698 11284555729 22569111458 33853667187 67707334374 101561001561 203122003122