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3133223010 = 23253110111119
BaseRepresentation
bin1011101011000001…
…0011000001100010
322002100201012221200
42322300103001202
522404101114020
61234523502030
7140433645651
oct27260230142
98070635850
103133223010
111368693905
12735387916
133ac18b018
1421a1a5198
1513510c590
hexbac13062

3133223010 has 96 divisors (see below), whose sum is σ = 8493189120. Its totient is φ = 800496000.

The previous prime is 3133223003. The next prime is 3133223021. The reversal of 3133223010 is 103223313.

3133223010 is a `hidden beast` number, since 31 + 332 + 2 + 301 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 276231 + ... + 287349.

It is an arithmetic number, because the mean of its divisors is an integer number (88470720).

Almost surely, 23133223010 is an apocalyptic number.

3133223010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246594560).

3133223010 is an abundant number, since it is smaller than the sum of its proper divisors (5359966110).

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

3133223010 is a wasteful number, since it uses less digits than its factorization.

3133223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3133223010 is about 55975.1999549801. The cubic root of 3133223010 is about 1463.2901047427.

Adding to 3133223010 its reverse (103223313), we get a palindrome (3236446323).

The spelling of 3133223010 in words is "three billion, one hundred thirty-three million, two hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 101 155 186 202 279 303 310 465 505 558 606 909 930 1010 1395 1515 1818 2790 3030 3131 4545 6262 9090 9393 11119 15655 18786 22238 28179 31310 33357 46965 55595 56358 66714 93930 100071 111190 140895 166785 200142 281790 333570 344689 500355 689378 1000710 1034067 1123019 1723445 2068134 2246038 3102201 3369057 3446890 5170335 5615095 6204402 6738114 10107171 10340670 11230190 15511005 16845285 20214342 31022010 33690570 34813589 50535855 69627178 101071710 104440767 174067945 208881534 313322301 348135890 522203835 626644602 1044407670 1566611505 3133223010