Search a number
-
+
3301212120 = 233583331447
BaseRepresentation
bin1100010011000100…
…0111111111011000
322112001210221200120
43010301013333120
523230102241440
61303324233240
7144543561063
oct30461077730
98461727616
103301212120
1114444a2588
1278169b820
13407c17c6b
142346138da
15144c41dd0
hexc4c47fd8

3301212120 has 64 divisors (see below), whose sum is σ = 10022987520. Its totient is φ = 869714304.

The previous prime is 3301212107. The next prime is 3301212157. The reversal of 3301212120 is 212121033.

It is a super-2 number, since 2×33012121202 = 21796002922469788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3301212120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 155764 + ... + 175683.

It is an arithmetic number, because the mean of its divisors is an integer number (156609180).

Almost surely, 23301212120 is an apocalyptic number.

3301212120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3301212120 is an abundant number, since it is smaller than the sum of its proper divisors (6721775400).

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

3301212120 is a wasteful number, since it uses less digits than its factorization.

3301212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331544 (or 331540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3301212120 is about 57456.1756471835. The cubic root of 3301212120 is about 1488.9878145783.

Adding to 3301212120 its reverse (212121033), we get a palindrome (3513333153).

The spelling of 3301212120 in words is "three billion, three hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 331447 662894 994341 1325788 1657235 1988682 2651576 3314470 3977364 4971705 6628940 7954728 9943410 13257880 19886820 27510101 39773640 55020202 82530303 110040404 137550505 165060606 220080808 275101010 330121212 412651515 550202020 660242424 825303030 1100404040 1650606060 3301212120