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2130131120 = 245132048203
BaseRepresentation
bin111111011110111…
…0011100010110000
312111110012212120012
41332331303202300
513330303143440
6551212034052
7103533546545
oct17675634260
95443185505
102130131120
119a3449047
124b5462928
1327c40a720
14162c90bcc
15c7019e65
hex7ef738b0

2130131120 has 40 divisors (see below), whose sum is σ = 5333523216. Its totient is φ = 786509568.

The previous prime is 2130131111. The next prime is 2130131141. The reversal of 2130131120 is 211310312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2130131095 and 2130131104.

It is an unprimeable number.

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, 1023062 + ... + 1025141.

Almost surely, 22130131120 is an apocalyptic number.

2130131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130131120 is an abundant number, since it is smaller than the sum of its proper divisors (3203392096).

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

2130131120 is a wasteful number, since it uses less digits than its factorization.

2130131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048229 (or 2048223 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2130131120 is about 46153.3435408530. The cubic root of 2130131120 is about 1286.6747521424.

Adding to 2130131120 its reverse (211310312), we get a palindrome (2341441432).

The spelling of 2130131120 in words is "two billion, one hundred thirty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2048203 4096406 8192812 10241015 16385624 20482030 26626639 32771248 40964060 53253278 81928120 106506556 133133195 163856240 213013112 266266390 426026224 532532780 1065065560 2130131120