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2121404103 = 327132238663
BaseRepresentation
bin111111001110010…
…0000111011000111
312110211210111100100
41332130200323013
513321034412403
6550301015143
7103366431420
oct17634407307
95424714310
102121404103
11999528335
124b25544b3
1327a673400
14161a5c647
15c63942a3
hex7e720ec7

2121404103 has 72 divisors (see below), whose sum is σ = 3957437952. Its totient is φ = 1070207424.

The previous prime is 2121404081. The next prime is 2121404111. The reversal of 2121404103 is 3014041212.

2121404103 is a `hidden beast` number, since 212 + 1 + 40 + 410 + 3 = 666.

It is not a de Polignac number, because 2121404103 - 25 = 2121404071 is a prime.

It is a super-3 number, since 3×21214041033 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121404003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240550 + ... + 249212.

It is an arithmetic number, because the mean of its divisors is an integer number (54964416).

Almost surely, 22121404103 is an apocalyptic number.

2121404103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2121404103 is a deficient number, since it is larger than the sum of its proper divisors (1836033849).

2121404103 is a wasteful number, since it uses less digits than its factorization.

2121404103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2121404103 is about 46058.7027932833. The cubic root of 2121404103 is about 1284.9152044254.

Adding to 2121404103 its reverse (3014041212), we get a palindrome (5135445315).

The spelling of 2121404103 in words is "two billion, one hundred twenty-one million, four hundred four thousand, one hundred three".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 169 207 273 299 483 507 819 897 1183 1449 1521 2093 2691 3549 3887 6279 8663 10647 11661 18837 25989 27209 34983 60641 77967 81627 112619 181923 199249 244881 337857 545769 597747 788333 1013571 1394743 1464047 1793241 2364999 2590237 4184229 4392141 7094997 7770711 10248329 12552687 13176423 18131659 23312133 30744987 33673081 54394977 92234961 101019243 163184931 235711567 303057729 707134701 2121404103