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1250010000 = 243254171943
BaseRepresentation
bin100101010000001…
…1010001110010000
310020010010002100200
41022200122032100
510030000310000
6324012015200
742655624011
oct11240321620
93203102320
101250010000
11591664018
122aa761500
1316bc842b5
14bc02b008
1574b18500
hex4a81a390

1250010000 has 600 divisors, whose sum is σ = 4985529120. Its totient is φ = 290304000.

The previous prime is 1250009989. The next prime is 1250010007. The reversal of 1250010000 is 100521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1250010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29069979 + ... + 29070021.

Almost surely, 21250010000 is an apocalyptic number.

1250010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1250010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492764560).

1250010000 is an abundant number, since it is smaller than the sum of its proper divisors (3735519120).

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

1250010000 is a wasteful number, since it uses less digits than its factorization.

1250010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1250010000 is about 35355.4804804008. The cubic root of 1250010000 is about 1077.2202175879.

Adding to 1250010000 its reverse (100521), we get a palindrome (1250110521).

It can be divided in two parts, 12500 and 10000, that added together give a square (22500 = 1502).

The spelling of 1250010000 in words is "one billion, two hundred fifty million, ten thousand".