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11250403000 = 2353103310891
BaseRepresentation
bin10100111101001001…
…11000011010111000
31002001001121200120121
422132210320122320
5141020100344000
65100211103024
7545536563514
oct123644703270
932031550517
1011250403000
114853617321
12221b8a1a74
1310a3a7b5c5
1478a253144
1545ca52b1a
hex29e9386b8

11250403000 has 64 divisors (see below), whose sum is σ = 26353847520. Its totient is φ = 4495392000.

The previous prime is 11250402991. The next prime is 11250403007. The reversal of 11250403000 is 30405211.

11250403000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11250403007) 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 15 ways as a sum of consecutive naturals, for example, 1027555 + ... + 1038445.

Almost surely, 211250403000 is an apocalyptic number.

11250403000 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 11250403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176923760).

11250403000 is an abundant number, since it is smaller than the sum of its proper divisors (15103444520).

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

11250403000 is a wasteful number, since it uses less digits than its factorization.

11250403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 11250403000 its reverse (30405211), we get a palindrome (11280808211).

The spelling of 11250403000 in words is "eleven billion, two hundred fifty million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1033 2066 4132 5165 8264 10330 10891 20660 21782 25825 41320 43564 51650 54455 87128 103300 108910 129125 206600 217820 258250 272275 435640 516500 544550 1033000 1089100 1361375 2178200 2722750 5445500 10891000 11250403 22500806 45001612 56252015 90003224 112504030 225008060 281260075 450016120 562520150 1125040300 1406300375 2250080600 2812600750 5625201500 11250403000