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2125135380 = 2235160122123
BaseRepresentation
bin111111010101010…
…1111111000010100
312111002211001200210
41332222233320110
513323013313010
6550513005420
7103443231654
oct17652577024
95432731623
102125135380
119a0646735
124b3853870
1327b37b874
14162350364
15c687eb20
hex7eaafe14

2125135380 has 48 divisors (see below), whose sum is σ = 5954364864. Its totient is φ = 566323200.

The previous prime is 2125135357. The next prime is 2125135381. The reversal of 2125135380 is 835315212.

It is a super-3 number, since 3×21251353803 (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125135381) 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 15 ways as a sum of consecutive naturals, for example, 84999 + ... + 107121.

It is an arithmetic number, because the mean of its divisors is an integer number (124049268).

Almost surely, 22125135380 is an apocalyptic number.

2125135380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125135380 is an abundant number, since it is smaller than the sum of its proper divisors (3829229484).

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

2125135380 is a wasteful number, since it uses less digits than its factorization.

2125135380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23736 (or 23734 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2125135380 is about 46099.1906653468. The cubic root of 2125135380 is about 1285.6680967181.

The spelling of 2125135380 in words is "two billion, one hundred twenty-five million, one hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1601 3202 4803 6404 8005 9606 16010 19212 22123 24015 32020 44246 48030 66369 88492 96060 110615 132738 221230 265476 331845 442460 663690 1327380 35418923 70837846 106256769 141675692 177094615 212513538 354189230 425027076 531283845 708378460 1062567690 2125135380