Search a number
-
+
33034232010 = 235131913134031
BaseRepresentation
bin11110110000111111…
…100110000011001010
310011021012201212012110
4132300333212003022
51020123230411020
623101542123150
72246422224213
oct366077460312
9104235655173
1033034232010
1113011a6549a
12649b1204b6
133165ba3960
14185540240a
15cd51d08e0
hex7b0fe60ca

33034232010 has 128 divisors (see below), whose sum is σ = 90563235840. Its totient is φ = 7644499200.

The previous prime is 33034232009. The next prime is 33034232027. The reversal of 33034232010 is 1023243033.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 953695 + ... + 987725.

It is an arithmetic number, because the mean of its divisors is an integer number (707525280).

Almost surely, 233034232010 is an apocalyptic number.

33034232010 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 33034232010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45281617920).

33034232010 is an abundant number, since it is smaller than the sum of its proper divisors (57529003830).

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

33034232010 is a wasteful number, since it uses less digits than its factorization.

33034232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34204.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33034232010 its reverse (1023243033), we get a palindrome (34057475043).

The spelling of 33034232010 in words is "thirty-three billion, thirty-four million, two hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 131 190 195 247 262 285 390 393 494 570 655 741 786 1235 1310 1482 1703 1965 2470 2489 3406 3705 3930 4978 5109 7410 7467 8515 10218 12445 14934 17030 24890 25545 32357 34031 37335 51090 64714 68062 74670 97071 102093 161785 170155 194142 204186 323570 340310 442403 485355 510465 646589 884806 970710 1020930 1293178 1327209 1939767 2212015 2654418 3232945 3879534 4424030 4458061 6465890 6636045 8405657 8916122 9698835 13272090 13374183 16811314 19397670 22290305 25216971 26748366 42028285 44580610 50433942 57954793 66870915 84056570 84703159 115909586 126084855 133741830 169406318 173864379 252169710 254109477 289773965 347728758 423515795 508218954 579547930 847031590 869321895 1101141067 1270547385 1738643790 2202282134 2541094770 3303423201 5505705335 6606846402 11011410670 16517116005 33034232010