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2130119920 = 24564141539
BaseRepresentation
bin111111011110111…
…0000110011110000
312111110012022012101
41332331300303300
513330302314140
6551211510144
7103533502105
oct17675606360
95443168171
102130119920
119a3440695
124b5458354
1327c4055b6
14162c8aaac
15c701699a
hex7ef70cf0

2130119920 has 40 divisors (see below), whose sum is σ = 4960374480. Its totient is φ = 850698240.

The previous prime is 2130119911. The next prime is 2130119923. The reversal of 2130119920 is 299110312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130119923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30511 + ... + 72049.

It is an arithmetic number, because the mean of its divisors is an integer number (124009362).

Almost surely, 22130119920 is an apocalyptic number.

2130119920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130119920 is an abundant number, since it is smaller than the sum of its proper divisors (2830254560).

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

2130119920 is a wasteful number, since it uses less digits than its factorization.

2130119920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42193 (or 42187 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 2130119920 is about 46153.2222060389. Note that the first 4 decimals coincide. The cubic root of 2130119920 is about 1286.6724970727.

The spelling of 2130119920 in words is "two billion, one hundred thirty million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 641 1282 2564 3205 5128 6410 10256 12820 25640 41539 51280 83078 166156 207695 332312 415390 664624 830780 1661560 3323120 26626499 53252998 106505996 133132495 213011992 266264990 426023984 532529980 1065059960 2130119920