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1003321013001 = 38921124677219
BaseRepresentation
bin11101001100110101001…
…01111011001100001001
310112220202011111100212120
432212122211323030021
5112414300134404001
62044530323201453
7132326141616456
oct16463245731411
93486664440776
101003321013001
1135756261213a
1214254a216289
13737c73273a8
14367bd53282d
151b1730ba236
hexe99a97b309

1003321013001 has 32 divisors (see below), whose sum is σ = 1359943027200. Its totient is φ = 657872772480.

The previous prime is 1003321012987. The next prime is 1003321013017. The reversal of 1003321013001 is 1003101233001.

It is not a de Polignac number, because 1003321013001 - 210 = 1003321011977 is a prime.

It is a super-2 number, since 2×10033210130012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003321013501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138979770 + ... + 138986988.

It is an arithmetic number, because the mean of its divisors is an integer number (42498219600).

Almost surely, 21003321013001 is an apocalyptic number.

It is an amenable number.

1003321013001 is a deficient number, since it is larger than the sum of its proper divisors (356622014199).

1003321013001 is a wasteful number, since it uses less digits than its factorization.

1003321013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1003321013001 its reverse (1003101233001), we get a palindrome (2006422246002).

The spelling of 1003321013001 in words is "one trillion, three billion, three hundred twenty-one million, thirteen thousand, one".

Divisors: 1 3 89 211 267 633 2467 7219 7401 18779 21657 56337 219563 520537 642491 658689 1523209 1561611 1927473 4569627 17809273 46327793 53427819 135565601 138983379 406696803 1585025297 3757756603 4755075891 11273269809 334440337667 1003321013001