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2212103010 = 2351389101631
BaseRepresentation
bin1000001111011010…
…0000001101100010
312201011110110212010
42003312200031202
514012244244020
61003301013350
7105550364625
oct20366401542
95634413763
102212103010
11a35746807
125189b4256
132933ab4c0
1416db0bdbc
15ce30cde0
hex83da0362

2212103010 has 128 divisors (see below), whose sum is σ = 5848174080. Its totient is φ = 532224000.

The previous prime is 2212102999. The next prime is 2212103017. The reversal of 2212103010 is 103012122.

It is not an unprimeable number, because it can be changed into a prime (2212103017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3505395 + ... + 3506025.

It is an arithmetic number, because the mean of its divisors is an integer number (45688860).

Almost surely, 22212103010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212103010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924087040).

2212103010 is an abundant number, since it is smaller than the sum of its proper divisors (3636071070).

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

2212103010 is a wasteful number, since it uses less digits than its factorization.

2212103010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2212103010 is about 47032.9991601641. Note that the first 3 decimals coincide. The cubic root of 2212103010 is about 1302.9720973633.

Adding to 2212103010 its reverse (103012122), we get a palindrome (2315115132).

The spelling of 2212103010 in words is "two billion, two hundred twelve million, one hundred three thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 101 130 178 195 202 267 303 390 445 505 534 606 631 890 1010 1157 1262 1313 1335 1515 1893 2314 2626 2670 3030 3155 3471 3786 3939 5785 6310 6565 6942 7878 8203 8989 9465 11570 13130 16406 17355 17978 18930 19695 24609 26967 34710 39390 41015 44945 49218 53934 56159 63731 82030 89890 112318 116857 123045 127462 134835 168477 191193 233714 246090 269670 280795 318655 336954 350571 382386 561590 584285 637310 701142 730067 828503 842385 955965 1168570 1460134 1657006 1684770 1752855 1911930 2190201 2485509 3505710 3650335 4142515 4380402 4971018 5672059 7300670 8285030 10951005 11344118 12427545 17016177 21902010 24855090 28360295 34032354 56720590 73736767 85080885 147473534 170161770 221210301 368683835 442420602 737367670 1106051505 2212103010