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3431022120 = 233259530617
BaseRepresentation
bin1100110010000001…
…0011111000101000
322212010001222112100
43030200103320220
524011320201440
61324242413400
7151011130641
oct31440237050
98763058470
103431022120
1115007a4779
127b9061260
13428a98106
142479646c8
15151334230
hexcc813e28

3431022120 has 48 divisors (see below), whose sum is σ = 11150823060. Its totient is φ = 914939136.

The previous prime is 3431022113. The next prime is 3431022121. The reversal of 3431022120 is 212201343.

It can be written as a sum of positive squares in 2 ways, for example, as 3421548036 + 9474084 = 58494^2 + 3078^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3431022093 and 3431022102.

It is not an unprimeable number, because it can be changed into a prime (3431022121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4764949 + ... + 4765668.

Almost surely, 23431022120 is an apocalyptic number.

3431022120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431022120 is an abundant number, since it is smaller than the sum of its proper divisors (7719800940).

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

3431022120 is a wasteful number, since it uses less digits than its factorization.

3431022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530634 (or 9530627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3431022120 is about 58574.9274007233. The cubic root of 3431022120 is about 1508.2540702390.

Adding to 3431022120 its reverse (212201343), we get a palindrome (3643223463).

The spelling of 3431022120 in words is "three billion, four hundred thirty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9530617 19061234 28591851 38122468 47653085 57183702 76244936 85775553 95306170 114367404 142959255 171551106 190612340 228734808 285918510 343102212 381224680 428877765 571837020 686204424 857755530 1143674040 1715511060 3431022120