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2131433002321 = 718143116272399
BaseRepresentation
bin11111000001000011010…
…011101001010101010001
321112202121020020011012221
4133001003103221111101
5234410133322033241
64311100010221041
7306663616406530
oct37010323512521
97482536204187
102131433002321
11751a323aa857
122a5104724781
13125cbb2a106c
147523a3bc317
153a69ba545d1
hex1f0434e9551

2131433002321 has 32 divisors (see below), whose sum is σ = 2457597542400. Its totient is φ = 1810764331200.

The previous prime is 2131433002253. The next prime is 2131433002337. The reversal of 2131433002321 is 1232003341312.

It is a cyclic number.

It is not a de Polignac number, because 2131433002321 - 215 = 2131432969553 is a prime.

It is a super-2 number, since 2×21314330023212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131433032321) 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 31 ways as a sum of consecutive naturals, for example, 888466080 + ... + 888468478.

It is an arithmetic number, because the mean of its divisors is an integer number (76799923200).

Almost surely, 22131433002321 is an apocalyptic number.

It is an amenable number.

2131433002321 is a deficient number, since it is larger than the sum of its proper divisors (326164540079).

2131433002321 is a wasteful number, since it uses less digits than its factorization.

2131433002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2131433002321 its reverse (1232003341312), we get a palindrome (3363436343633).

The spelling of 2131433002321 in words is "two trillion, one hundred thirty-one billion, four hundred thirty-three million, two thousand, three hundred twenty-one".

Divisors: 1 7 181 431 1267 1627 2399 3017 11389 16793 78011 294487 434219 546077 701237 1033969 2061409 3039533 3903173 4908659 7237783 27322211 126923897 187148389 706474313 888467279 1310038723 1682267563 4945320191 11775872941 304490428903 2131433002321