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2121103413 = 32111317293343
BaseRepresentation
bin111111001101101…
…0111100000110101
312110211020012212200
41332123113200311
513321000302123
6550250335113
7103364036652
oct17633274065
95424205780
102121103413
11999342430
124b242a499
1327a5995a0
141619c0c29
15c6335143
hex7e6d7835

2121103413 has 96 divisors (see below), whose sum is σ = 3943779840. Its totient is φ = 1077995520.

The previous prime is 2121103393. The next prime is 2121103417. The reversal of 2121103413 is 3143011212.

2121103413 is a `hidden beast` number, since 212 + 110 + 341 + 3 = 666.

It is not a de Polignac number, because 2121103413 - 28 = 2121103157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121103417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632820 + ... + 636162.

It is an arithmetic number, because the mean of its divisors is an integer number (41081040).

Almost surely, 22121103413 is an apocalyptic number.

It is an amenable number.

2121103413 is a deficient number, since it is larger than the sum of its proper divisors (1822676427).

2121103413 is a wasteful number, since it uses less digits than its factorization.

2121103413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2121103413 is about 46055.4384736483. The cubic root of 2121103413 is about 1284.8544931559.

Adding to 2121103413 its reverse (3143011212), we get a palindrome (5264114625).

The spelling of 2121103413 in words is "two billion, one hundred twenty-one million, one hundred three thousand, four hundred thirteen".

Divisors: 1 3 9 11 13 17 29 33 39 51 87 99 117 143 153 187 221 261 319 377 429 493 561 663 957 1131 1287 1479 1683 1989 2431 2871 3343 3393 4147 4437 5423 6409 7293 10029 12441 16269 19227 21879 30087 36773 37323 43459 48807 56831 57681 70499 96947 110319 130377 170493 211497 290841 330957 391131 478049 511479 625141 634491 738803 872523 1066417 1260311 1434147 1648099 1875423 2216409 3199251 3780933 4302441 4944297 5626269 6649227 8126833 9597753 11342799 13863421 14832891 18129089 21425287 24380499 41590263 54387267 64275861 73141497 124770789 163161801 192827583 235678157 707034471 2121103413