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1003212100321 = 19162132572879
BaseRepresentation
bin11101001100101000001…
…10011101001011100001
310112220110120120000202121
432212110012131023201
5112414034244202241
62044511432544241
7132323350104004
oct16462406351341
93486416500677
101003212100321
11357507093462
12142519852081
13737aa8b2c12
14367acca153b
151b168754ad1
hexe99419d2e1

1003212100321 has 8 divisors (see below), whose sum is σ = 1056664227200. Its totient is φ = 949825122480.

The previous prime is 1003212100307. The next prime is 1003212100337. The reversal of 1003212100321 is 1230012123001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1003212100321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003212100295 and 1003212100304.

It is not an unprimeable number, because it can be changed into a prime (1003212100021) 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 7 ways as a sum of consecutive naturals, for example, 16255641 + ... + 16317238.

It is an arithmetic number, because the mean of its divisors is an integer number (132083028400).

Almost surely, 21003212100321 is an apocalyptic number.

It is an amenable number.

1003212100321 is a deficient number, since it is larger than the sum of its proper divisors (53452126879).

1003212100321 is a wasteful number, since it uses less digits than its factorization.

1003212100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32574519.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1003212100321 its reverse (1230012123001), we get a palindrome (2233224223322).

The spelling of 1003212100321 in words is "one trillion, three billion, two hundred twelve million, one hundred thousand, three hundred twenty-one".

Divisors: 1 19 1621 30799 32572879 618884701 52800636859 1003212100321