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11250050020 = 2251129914691
BaseRepresentation
bin10100111101000111…
…00010001111100100
31002001000221202101021
422132203202033210
5141020003100040
65100155340524
7545533563436
oct123643421744
932030852337
1011250050020
1148533a6100
12221b751744
1310a3986a41
1478a1a0656
1545c9d324a
hex29e8e23e4

11250050020 has 72 divisors (see below), whose sum is σ = 25999835904. Its totient is φ = 4085928000.

The previous prime is 11250050003. The next prime is 11250050047. The reversal of 11250050020 is 2005005211.

11250050020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11250049976 and 11250050003.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2395875 + ... + 2400565.

It is an arithmetic number, because the mean of its divisors is an integer number (361108832).

Almost surely, 211250050020 is an apocalyptic number.

11250050020 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 11250050020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999917952).

11250050020 is an abundant number, since it is smaller than the sum of its proper divisors (14749785884).

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

11250050020 is a wasteful number, since it uses less digits than its factorization.

11250050020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

Adding to 11250050020 its reverse (2005005211), we get a palindrome (13255055231).

The spelling of 11250050020 in words is "eleven billion, two hundred fifty million, fifty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 991 1210 1982 2420 3964 4691 4955 9382 9910 10901 18764 19820 21802 23455 43604 46910 51601 54505 93820 103202 109010 119911 206404 218020 239822 258005 479644 516010 567611 599555 1032020 1135222 1199110 2270444 2398220 2838055 4648781 5676110 9297562 11352220 18595124 23243905 46487810 51136591 92975620 102273182 204546364 255682955 511365910 562502501 1022731820 1125005002 2250010004 2812512505 5625025010 11250050020