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2103313212 = 22327111358367
BaseRepresentation
bin111110101011110…
…0000001100111100
312102120202101022100
41331113200030330
513301422010322
6544413145100
7103056603330
oct17527401474
95376671270
102103313212
1198a2a1390
124a848b190
132769aac40
1415d4ad7c0
15c49bddac
hex7d5e033c

2103313212 has 144 divisors (see below), whose sum is σ = 7138639872. Its totient is φ = 504282240.

The previous prime is 2103313207. The next prime is 2103313213. The reversal of 2103313212 is 2123133012.

2103313212 is a `hidden beast` number, since 2 + 10 + 331 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103313213) 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 47 ways as a sum of consecutive naturals, for example, 6853 + ... + 65219.

It is an arithmetic number, because the mean of its divisors is an integer number (49573888).

Almost surely, 22103313212 is an apocalyptic number.

2103313212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569319936).

2103313212 is an abundant number, since it is smaller than the sum of its proper divisors (5035326660).

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

2103313212 is a wasteful number, since it uses less digits than its factorization.

2103313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58408 (or 58403 counting only the distinct ones).

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

The square root of 2103313212 is about 45861.8928087361. The cubic root of 2103313212 is about 1281.2522762379.

Adding to 2103313212 its reverse (2123133012), we get a palindrome (4226446224).

The spelling of 2103313212 in words is "two billion, one hundred three million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 58367 116734 175101 233468 350202 408569 525303 642037 700404 758771 817138 1050606 1225707 1284074 1517542 1634276 1926111 2101212 2276313 2451414 2568148 3035084 3677121 3852222 4494259 4552626 4902828 5311397 5778333 6828939 7354242 7704444 8346481 8988518 9105252 10622794 11556666 13482777 13657878 14708484 15934191 16692962 17977036 21245588 23113332 25039443 26965554 27315756 31868382 33385924 40448331 47802573 50078886 53931108 58425367 63736764 75118329 80896662 95605146 100157772 116850734 150236658 161793324 175276101 191210292 233701468 300473316 350552202 525828303 701104404 1051656606 2103313212