Search a number
-
+
3002130120 = 2335112274341
BaseRepresentation
bin1011001011110000…
…1101111011001000
321202020001000022110
42302330031323020
522122021130440
61213522022320
7134252453643
oct26274157310
97666030273
103002130120
111300695880
126b94a79a0
1338ac7bc72
142069dca5a
15128865080
hexb2f0dec8

3002130120 has 64 divisors (see below), whose sum is σ = 9825157440. Its totient is φ = 727788800.

The previous prime is 3002130101. The next prime is 3002130121. The reversal of 3002130120 is 210312003.

It is a happy number.

It is a super-2 number, since 2×30021301202 = 18025570514822428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3002130096 and 3002130105.

It is not an unprimeable number, because it can be changed into a prime (3002130121) by changing a digit.

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, 1135851 + ... + 1138490.

It is an arithmetic number, because the mean of its divisors is an integer number (153518085).

Almost surely, 23002130120 is an apocalyptic number.

3002130120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002130120 is an abundant number, since it is smaller than the sum of its proper divisors (6823027320).

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

3002130120 is a wasteful number, since it uses less digits than its factorization.

3002130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274366 (or 2274362 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3002130120 is about 54791.6975462524. The cubic root of 3002130120 is about 1442.5908411765.

Adding to 3002130120 its reverse (210312003), we get a palindrome (3212442123).

The spelling of 3002130120 in words is "three billion, two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2274341 4548682 6823023 9097364 11371705 13646046 18194728 22743410 25017751 27292092 34115115 45486820 50035502 54584184 68230230 75053253 90973640 100071004 125088755 136460460 150106506 200142008 250177510 272920920 300213012 375266265 500355020 600426024 750532530 1000710040 1501065060 3002130120