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1003332420321 = 37114343430391
BaseRepresentation
bin11101001100110110100…
…01011100001011100001
310112220202221221220202220
432212123101130023201
5112414311044422241
62044531411501253
7132326340600120
oct16463321341341
93486687856686
101003332420321
11357568aa3680
12142551bb7829
13737c97bc69a
14367c0c61ab7
151b1740c0166
hexe99b45c2e1

1003332420321 has 16 divisors (see below), whose sum is σ = 1667877270528. Its totient is φ = 521211646800.

The previous prime is 1003332420281. The next prime is 1003332420347. The reversal of 1003332420321 is 1230242333001.

1003332420321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003332420321 - 29 = 1003332419809 is a prime.

It is a super-3 number, since 3×10033324203213 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003332420291 and 1003332420300.

It is not an unprimeable number, because it can be changed into a prime (1003332420221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171714965 + ... + 2171715426.

It is an arithmetic number, because the mean of its divisors is an integer number (104242329408).

Almost surely, 21003332420321 is an apocalyptic number.

1003332420321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003332420321 is a deficient number, since it is larger than the sum of its proper divisors (664544850207).

1003332420321 is a wasteful number, since it uses less digits than its factorization.

1003332420321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343430412.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1003332420321 its reverse (1230242333001), we get a palindrome (2233574753322).

The spelling of 1003332420321 in words is "one trillion, three billion, three hundred thirty-two million, four hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 4343430391 13030291173 30404012737 47777734301 91212038211 143333202903 334444140107 1003332420321