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11230011000 = 23325313531811
BaseRepresentation
bin10100111010101110…
…00101111001111000
31001222122020200000100
422131113011321320
5140444340323000
65054202035400
7545201342565
oct123527057170
931878220010
1011230011000
11484305952a
122214aa8b60
13109c78b930
1478766586c
1545ad75a00
hex29d5c5e78

11230011000 has 384 divisors, whose sum is σ = 41671506240. Its totient is φ = 2710656000.

The previous prime is 11230010993. The next prime is 11230011049. The reversal of 11230011000 is 11003211.

It is a super-2 number, since 2×112300110002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6200095 + ... + 6201905.

Almost surely, 211230011000 is an apocalyptic number.

11230011000 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 11230011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835753120).

11230011000 is an abundant number, since it is smaller than the sum of its proper divisors (30441495240).

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

11230011000 is a wasteful number, since it uses less digits than its factorization.

11230011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11230011000 its reverse (11003211), we get a palindrome (11241014211).

The spelling of 11230011000 in words is "eleven billion, two hundred thirty million, eleven thousand".