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3135334120 = 235376134729
BaseRepresentation
bin1011101011100001…
…0110011011101000
322002111200110211221
42322320112123220
522410121142440
61235041031424
7140460620542
oct27270263350
98074613757
103135334120
1113698a5a26
12736025574
133ac749bb9
1421a594692
151353c7d4a
hexbae166e8

3135334120 has 64 divisors (see below), whose sum is σ = 7364149200. Its totient is φ = 1200199680.

The previous prime is 3135334087. The next prime is 3135334183. The reversal of 3135334120 is 214335313.

It can be written as a sum of positive squares in 8 ways, for example, as 295083684 + 2840250436 = 17178^2 + 53294^2 .

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, 72916 + ... + 107644.

Almost surely, 23135334120 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 3135334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682074600).

3135334120 is an abundant number, since it is smaller than the sum of its proper divisors (4228815080).

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

3135334120 is a wasteful number, since it uses less digits than its factorization.

3135334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34838 (or 34834 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 3135334120 is about 55994.0543272230. The cubic root of 3135334120 is about 1463.6186772503.

Adding to 3135334120 its reverse (214335313), we get a palindrome (3349669433).

The spelling of 3135334120 in words is "three billion, one hundred thirty-five million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 244 296 305 370 488 610 740 1220 1480 2257 2440 4514 9028 11285 18056 22570 34729 45140 69458 90280 138916 173645 277832 347290 694580 1284973 1389160 2118469 2569946 4236938 5139892 6424865 8473876 10279784 10592345 12849730 16947752 21184690 25699460 42369380 51398920 78383353 84738760 156766706 313533412 391916765 627066824 783833530 1567667060 3135334120