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2003322101321 = 233127527102071
BaseRepresentation
bin11101001001101111010…
…011010101111001001001
321002111220221222002020202
4131021233103111321021
5230310300424220241
64132151413101545
7264510121620452
oct35115723257111
97074827862222
102003322101321
11702671110772
122843106278b5
13116bb28b43b8
146cd65b80129
153719e998d9b
hex1d26f4d5e49

2003322101321 has 16 divisors (see below), whose sum is σ = 2157955596288. Its totient is φ = 1854322021200.

The previous prime is 2003322101279. The next prime is 2003322101351. The reversal of 2003322101321 is 1231012233002.

It is a cyclic number.

It is not a de Polignac number, because 2003322101321 - 214 = 2003322084937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003322101293 and 2003322101302.

It is not an unprimeable number, because it can be changed into a prime (2003322101351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19575716 + ... + 19677786.

It is an arithmetic number, because the mean of its divisors is an integer number (134872224768).

Almost surely, 22003322101321 is an apocalyptic number.

It is an amenable number.

2003322101321 is a deficient number, since it is larger than the sum of its proper divisors (154633494967).

2003322101321 is a wasteful number, since it uses less digits than its factorization.

2003322101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129652.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2003322101321 its reverse (1231012233002), we get a palindrome (3234334334323).

The spelling of 2003322101321 in words is "two trillion, three billion, three hundred twenty-two million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 23 31 713 27527 102071 633121 853337 2347633 3164201 19626751 72776623 2809708417 64623293591 87100960927 2003322101321