Search a number
-
+
3300121000 = 235311436977
BaseRepresentation
bin1100010010110011…
…1101100110101000
322111222202111221201
43010230331212220
523224312333000
61303245013544
7144531365011
oct30454754650
98458674851
103300121000
111443917830
127812542b4
13407925427
1423440c008
15144ac896a
hexc4b3d9a8

3300121000 has 128 divisors (see below), whose sum is σ = 8621458560. Its totient is φ = 1171968000.

The previous prime is 3300120977. The next prime is 3300121007. The reversal of 3300121000 is 1210033.

3300121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33001210002 = 21781597229282000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3300121007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469512 + ... + 476488.

It is an arithmetic number, because the mean of its divisors is an integer number (67355145).

Almost surely, 23300121000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310729280).

3300121000 is an abundant number, since it is smaller than the sum of its proper divisors (5321337560).

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

3300121000 is a wasteful number, since it uses less digits than its factorization.

3300121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3300121000 is about 57446.6796255449. The cubic root of 3300121000 is about 1488.8237492437.

Adding to 3300121000 its reverse (1210033), we get a palindrome (3301331033).

It can be divided in two parts, 3 and 300121000, that added together give a palindrome (300121003).

The spelling of 3300121000 in words is "three billion, three hundred million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 860 946 1000 1075 1100 1375 1720 1892 2150 2200 2365 2750 3784 4300 4730 5375 5500 6977 8600 9460 10750 11000 11825 13954 18920 21500 23650 27908 34885 43000 47300 55816 59125 69770 76747 94600 118250 139540 153494 174425 236500 279080 300011 306988 348850 383735 473000 600022 613976 697700 767470 872125 1200044 1395400 1500055 1534940 1744250 1918675 2400088 3000110 3069880 3300121 3488500 3837350 6000220 6600242 6977000 7500275 7674700 9593375 12000440 13200484 15000550 15349400 16500605 19186750 26400968 30001100 33001210 37501375 38373500 60002200 66002420 75002750 76747000 82503025 132004840 150005500 165006050 300011000 330012100 412515125 660024200 825030250 1650060500 3300121000