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11250000400 = 245228125001
BaseRepresentation
bin10100111101000110…
…10110001000010000
31002001000212020022111
422132203112020100
5141020000003100
65100154315104
7545533265662
oct123643261020
932030766274
1011250000400
1148533718a1
12221b728a94
1310a396a292
1478a18a532
1545c9c36ba
hex29e8d6210

11250000400 has 30 divisors (see below), whose sum is σ = 27028126922. Its totient is φ = 4500000000.

The previous prime is 11250000389. The next prime is 11250000403. The reversal of 11250000400 is 400005211.

It can be written as a sum of positive squares in 3 ways, for example, as 1903751424 + 9346248976 = 43632^2 + 96676^2 .

It is not an unprimeable number, because it can be changed into a prime (11250000403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14062101 + ... + 14062900.

Almost surely, 211250000400 is an apocalyptic number.

11250000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11250000400 is an abundant number, since it is smaller than the sum of its proper divisors (15778126522).

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

11250000400 is a wasteful number, since it uses less digits than its factorization.

11250000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28125019 (or 28125008 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 11250000400 its reverse (400005211), we get a palindrome (11650005611).

The spelling of 11250000400 in words is "eleven billion, two hundred fifty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28125001 56250002 112500004 140625005 225000008 281250010 450000016 562500020 703125025 1125000040 1406250050 2250000080 2812500100 5625000200 11250000400