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2103232131 = 32711131571487
BaseRepresentation
bin111110101011100…
…1100011010000011
312102120121021002100
41331113030122003
513301411412011
6544411321443
7103056115050
oct17527143203
95376537070
102103232131
1198a246480
124a8450283
13276980070
1415d48c027
15c49a4d56
hex7d5cc683

2103232131 has 96 divisors (see below), whose sum is σ = 4107737088. Its totient is φ = 1001445120.

The previous prime is 2103232121. The next prime is 2103232139. The reversal of 2103232131 is 1312323012.

2103232131 is a `hidden beast` number, since 210 + 323 + 2 + 131 = 666.

It is not a de Polignac number, because 2103232131 - 26 = 2103232067 is a prime.

It is a super-2 number, since 2×21032321312 = 8847170793741602322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2103232139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1413670 + ... + 1415156.

It is an arithmetic number, because the mean of its divisors is an integer number (42788928).

Almost surely, 22103232131 is an apocalyptic number.

2103232131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2103232131 is a deficient number, since it is larger than the sum of its proper divisors (2004504957).

2103232131 is a wasteful number, since it uses less digits than its factorization.

2103232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2103232131 is about 45861.0088310321. The cubic root of 2103232131 is about 1281.2358122847.

Adding to 2103232131 its reverse (1312323012), we get a palindrome (3415555143).

The spelling of 2103232131 in words is "two billion, one hundred three million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 157 231 273 429 471 693 819 1001 1099 1287 1413 1487 1727 2041 3003 3297 4461 5181 6123 9009 9891 10409 12089 13383 14287 15543 16357 18369 19331 22451 31227 36267 42861 49071 57993 67353 93681 108801 114499 128583 135317 147213 157157 173979 202059 212641 233459 343497 405951 471471 637923 700377 1030491 1217853 1414413 1488487 1634213 1913769 2101131 2568049 3034967 4465461 4902639 7704147 9104901 13396383 14707917 17976343 21244769 23112441 27314703 33384637 53929029 63734307 100153911 161787087 191202921 233692459 300461733 701077377 2103232131