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123200203212321 = 3713083187610999
BaseRepresentation
bin11100000000110011001000…
…010110010100011000100001
3121011012211020222201020210020
4130000303020112110120201
5112122003004010243241
61114005220402024053
734643630612522064
oct3400631026243041
9534184228636706
10123200203212321
1136289a04988554
1211999036948029
1353989633b9201
14225ccc90248db
15e39ac00aeb66
hex700cc8594621

123200203212321 has 16 divisors (see below), whose sum is σ = 166634589312000. Its totient is φ = 80950393417040.

The previous prime is 123200203212283. The next prime is 123200203212341. The reversal of 123200203212321 is 123212302002321.

It is a cyclic number.

It is not a de Polignac number, because 123200203212321 - 27 = 123200203212193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123200203212291 and 123200203212300.

It is not an unprimeable number, because it can be changed into a prime (123200203212341) 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 15 ways as a sum of consecutive naturals, for example, 93148821 + ... + 94462178.

It is an arithmetic number, because the mean of its divisors is an integer number (10414661832000).

Almost surely, 2123200203212321 is an apocalyptic number.

It is an amenable number.

123200203212321 is a deficient number, since it is larger than the sum of its proper divisors (43434386099679).

123200203212321 is a wasteful number, since it uses less digits than its factorization.

123200203212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187614156.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123200203212321 its reverse (123212302002321), we get a palindrome (246412505214642).

The spelling of 123200203212321 in words is "one hundred twenty-three trillion, two hundred billion, two hundred three million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 71 213 3083 9249 218893 656679 187610999 562832997 13320380929 39961142787 578404709917 1735214129751 41066734404107 123200203212321