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2102122120 = 23577507579
BaseRepresentation
bin111110101001011…
…1101011010001000
312102111111212102211
41331102331122020
513301120401440
6544331434504
7103043512630
oct17522753210
95374455384
102102122120
1198965850a
124a7bb5a34
13276681a57
1415d27d6c0
15c4835eea
hex7d4bd688

2102122120 has 32 divisors (see below), whose sum is σ = 5405457600. Its totient is φ = 720727488.

The previous prime is 2102122103. The next prime is 2102122129. The reversal of 2102122120 is 212212012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102122120.

It is not an unprimeable number, because it can be changed into a prime (2102122129) 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 7 ways as a sum of consecutive naturals, for example, 3753510 + ... + 3754069.

It is an arithmetic number, because the mean of its divisors is an integer number (168920550).

Almost surely, 22102122120 is an apocalyptic number.

2102122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102122120 is an abundant number, since it is smaller than the sum of its proper divisors (3303335480).

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

2102122120 is a wasteful number, since it uses less digits than its factorization.

2102122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507597 (or 7507593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2102122120 is about 45848.9053304438. The cubic root of 2102122120 is about 1281.0103757465.

Adding to 2102122120 its reverse (212212012), we get a palindrome (2314334132).

The spelling of 2102122120 in words is "two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7507579 15015158 30030316 37537895 52553053 60060632 75075790 105106106 150151580 210212212 262765265 300303160 420424424 525530530 1051061060 2102122120