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2112021135 = 3557298563
BaseRepresentation
bin111110111100010…
…1110001010001111
312110012010210100000
41331320232022033
513311134134020
6545323535343
7103223612010
oct17570561217
95405123300
102112021135
119941a9814
124ab38a553
13278739663
141606d9007
15c563e090
hex7de2e28f

2112021135 has 96 divisors (see below), whose sum is σ = 4488906240. Its totient is φ = 932093568.

The previous prime is 2112021127. The next prime is 2112021137. The reversal of 2112021135 is 5311202112.

It is not a de Polignac number, because 2112021135 - 23 = 2112021127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112021137) 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, 242364 + ... + 250926.

It is an arithmetic number, because the mean of its divisors is an integer number (46759440).

Almost surely, 22112021135 is an apocalyptic number.

2112021135 is an abundant number, since it is smaller than the sum of its proper divisors (2376885105).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112021135 is an equidigital number, since it uses as much as digits as its factorization.

2112021135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2112021135 is about 45956.7311174326. The cubic root of 2112021135 is about 1283.0180117339.

Adding to 2112021135 its reverse (5311202112), we get a palindrome (7423223247).

The spelling of 2112021135 in words is "two billion, one hundred twelve million, twenty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 81 87 105 135 145 189 203 243 261 315 405 435 567 609 783 945 1015 1215 1305 1701 1827 2349 2835 3045 3915 5481 7047 8505 8563 9135 11745 16443 25689 27405 35235 42815 49329 59941 77067 82215 128445 179823 231201 246645 248327 299705 385335 539469 693603 744981 899115 1156005 1241635 1618407 1738289 2080809 2234943 2697345 3468015 3724905 4855221 5214867 6704829 8092035 8691445 10404045 11174715 14565663 15644601 20114487 24276105 26074335 33524145 46933803 60343461 72828315 78223005 100572435 140801409 234669015 301717305 422404227 704007045 2112021135