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2120132120 = 235353150151
BaseRepresentation
bin111111001011110…
…1010011000011000
312110202101212111212
41332113222120120
513320223211440
6550213442252
7103352553131
oct17627523030
95422355455
102120132120
11998839707
124b2040388
1327a319462
1416180ac88
15c61e2465
hex7e5ea618

2120132120 has 32 divisors (see below), whose sum is σ = 4783842720. Its totient is φ = 845644800.

The previous prime is 2120132117. The next prime is 2120132141. The reversal of 2120132120 is 212310212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2120132095 and 2120132104.

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 7 ways as a sum of consecutive naturals, for example, 60956 + ... + 89195.

It is an arithmetic number, because the mean of its divisors is an integer number (149495085).

Almost surely, 22120132120 is an apocalyptic number.

2120132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120132120 is an abundant number, since it is smaller than the sum of its proper divisors (2663710600).

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

2120132120 is a wasteful number, since it uses less digits than its factorization.

2120132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150515 (or 150511 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2120132120 is about 46044.8924420505. The cubic root of 2120132120 is about 1284.6583435629.

Adding to 2120132120 its reverse (212310212), we get a palindrome (2332442332).

The spelling of 2120132120 in words is "two billion, one hundred twenty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 353 706 1412 1765 2824 3530 7060 14120 150151 300302 600604 750755 1201208 1501510 3003020 6006040 53003303 106006606 212013212 265016515 424026424 530033030 1060066060 2120132120