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11250011250 = 232541019901
BaseRepresentation
bin10100111101000110…
…11000110001110010
31002001000212210012100
422132203120301302
5141020000330000
65100154441230
7545533342422
oct123643306162
932030783170
1011250011250
114853379a65
12221b733216
1310a39721ba
1478a190482
1545c9c6a00
hex29e8d8c72

11250011250 has 120 divisors (see below), whose sum is σ = 30763711836. Its totient is φ = 2970000000.

The previous prime is 11250011233. The next prime is 11250011251. The reversal of 11250011250 is 5211005211.

11250011250 is a `hidden beast` number, since 1 + 1 + 2 + 500 + 112 + 50 = 666.

11250011250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 990549729 + 10259461521 = 31473^2 + 101289^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11250011251) 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 59 ways as a sum of consecutive naturals, for example, 1131300 + ... + 1141200.

Almost surely, 211250011250 is an apocalyptic number.

11250011250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11250011250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381855918).

11250011250 is an abundant number, since it is smaller than the sum of its proper divisors (19513700586).

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

11250011250 is a wasteful number, since it uses less digits than its factorization.

11250011250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 11250011250 its reverse (5211005211), we get a palindrome (16461016461).

The spelling of 11250011250 in words is "eleven billion, two hundred fifty million, eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 125 150 202 225 250 303 375 450 505 606 625 750 909 1010 1125 1250 1515 1818 1875 2250 2525 3030 3750 4545 5050 5625 7575 9090 9901 11250 12625 15150 19802 22725 25250 29703 37875 45450 49505 59406 63125 75750 89109 99010 113625 126250 148515 178218 189375 227250 247525 297030 378750 445545 495050 568125 742575 891090 1000001 1136250 1237625 1485150 2000002 2227725 2475250 3000003 3712875 4455450 5000005 6000006 6188125 7425750 9000009 10000010 11138625 12376250 15000015 18000018 18564375 22277250 25000025 30000030 37128750 45000045 50000050 55693125 75000075 90000090 111386250 125000125 150000150 225000225 250000250 375000375 450000450 625000625 750000750 1125001125 1250001250 1875001875 2250002250 3750003750 5625005625 11250011250