Search a number
-
+
10302356000 = 25532575589
BaseRepresentation
bin10011001100001000…
…10111101000100000
3222120222200220120202
421212010113220200
5132044400343000
64422143124332
7513205403216
oct114604275040
928528626522
1010302356000
114407458602
121bb62a36a8
13c82531751
146da38acb6
154046d4dd5
hex266117a20

10302356000 has 48 divisors (see below), whose sum is σ = 25312898520. Its totient is φ = 4120940800.

The previous prime is 10302355979. The next prime is 10302356003. The reversal of 10302356000 is 65320301.

It can be written as a sum of positive squares in 4 ways, for example, as 4509928336 + 5792427664 = 67156^2 + 76108^2 .

It is a super-2 number, since 2×103023560002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10302356003) 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, 1283795 + ... + 1291794.

Almost surely, 210302356000 is an apocalyptic number.

10302356000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302356000 is an abundant number, since it is smaller than the sum of its proper divisors (15010542520).

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

10302356000 is an equidigital number, since it uses as much as digits as its factorization.

10302356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575614 (or 2575596 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10302356000 its reverse (65320301), we get a palindrome (10367676301).

The spelling of 10302356000 in words is "ten billion, three hundred two million, three hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 2575589 5151178 10302356 12877945 20604712 25755890 41209424 51511780 64389725 82418848 103023560 128779450 206047120 257558900 321948625 412094240 515117800 643897250 1030235600 1287794500 2060471200 2575589000 5151178000 10302356000