Search a number
-
+
10251420601000 = 235310251420601
BaseRepresentation
bin1001010100101101100001…
…0010001000101010101000
31100022000201010110010011111
42111023120102020222220
52320424402133213000
633445234305040104
72105432521241035
oct225133022105250
940260633403144
1010251420601000
1132a266a747887
121196964026034
13594921629a07
1427625849638c
1512b9e2820cba
hex952d8488aa8

10251420601000 has 32 divisors (see below), whose sum is σ = 23988324208680. Its totient is φ = 4100568240000.

The previous prime is 10251420600899. The next prime is 10251420601003. The reversal of 10251420601000 is 10602415201.

It can be written as a sum of positive squares in 4 ways, for example, as 543472686436 + 9707947914564 = 737206^2 + 3115758^2 .

It is not an unprimeable number, because it can be changed into a prime (10251420601003) 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, 5125709301 + ... + 5125711300.

Almost surely, 210251420601000 is an apocalyptic number.

10251420601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10251420601000 is an abundant number, since it is smaller than the sum of its proper divisors (13736903607680).

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

10251420601000 is a wasteful number, since it uses less digits than its factorization.

10251420601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251420622 (or 10251420608 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 10251420601000 in words is "ten trillion, two hundred fifty-one billion, four hundred twenty million, six hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10251420601 20502841202 41005682404 51257103005 82011364808 102514206010 205028412020 256285515025 410056824040 512571030050 1025142060100 1281427575125 2050284120200 2562855150250 5125710300500 10251420601000