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20003121 = 3241151359
BaseRepresentation
bin100110001001…
…1100100110001
31101122021010100
41030103210301
520110044441
61552423013
7332011065
oct114234461
941567110
1020003121
1110322706
126847a69
1341b4988
142929aa5
151b51cb6
hex1313931

20003121 has 24 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 12888000.

The previous prime is 20003117. The next prime is 20003131. The reversal of 20003121 is 12130002.

It is a happy number.

It is not a de Polignac number, because 20003121 - 22 = 20003117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55540 + ... + 55898.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 220003121 is an apocalyptic number.

It is an amenable number.

20003121 is a deficient number, since it is larger than the sum of its proper divisors (9873999).

20003121 is a wasteful number, since it uses less digits than its factorization.

20003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20003121 is about 4472.4848797956. The cubic root of 20003121 is about 271.4558804207.

Adding to 20003121 its reverse (12130002), we get a palindrome (32133123).

It can be divided in two parts, 200031 and 21, that multiplied together give a triangular number (4200651 = T2898).

The spelling of 20003121 in words is "twenty million, three thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 151 359 369 453 1077 1359 3231 6191 14719 18573 44157 54209 55719 132471 162627 487881 2222569 6667707 20003121