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4102141000 = 23534102141
BaseRepresentation
bin1111010010000001…
…1011010001001000
3101120212220100120011
43310200123101020
531400122003000
61515015041304
7203440423516
oct36440332110
911525810504
104102141000
111815608281
12965970234
13504b34889
142acb414b6
151901ee2ba
hexf481b448

4102141000 has 32 divisors (see below), whose sum is σ = 9599012280. Its totient is φ = 1640856000.

The previous prime is 4102140949. The next prime is 4102141003. The reversal of 4102141000 is 1412014.

It can be written as a sum of positive squares in 4 ways, for example, as 1017227236 + 3084913764 = 31894^2 + 55542^2 .

It is not an unprimeable number, because it can be changed into a prime (4102141003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2050071 + ... + 2052070.

Almost surely, 24102141000 is an apocalyptic number.

4102141000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102141000 is an abundant number, since it is smaller than the sum of its proper divisors (5496871280).

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

4102141000 is a wasteful number, since it uses less digits than its factorization.

4102141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102162 (or 4102148 counting only the distinct ones).

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

The square root of 4102141000 is about 64047.9585935414. The cubic root of 4102141000 is about 1600.7992100980.

Adding to 4102141000 its reverse (1412014), we get a palindrome (4103553014).

The spelling of 4102141000 in words is "four billion, one hundred two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4102141 8204282 16408564 20510705 32817128 41021410 82042820 102553525 164085640 205107050 410214100 512767625 820428200 1025535250 2051070500 4102141000