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11422530000 = 243254718131
BaseRepresentation
bin10101010001101010…
…11111100111010000
31002111001111122102200
422220311133213100
5141343131430000
65125240243200
7553026621510
oct125065374720
932431448380
1011422530000
1149317a1942
122269470500
131100626abb
147a505b840
1546cc03500
hex2a8d5f9d0

11422530000 has 300 divisors, whose sum is σ = 45655360608. Its totient is φ = 2610720000.

The previous prime is 11422529983. The next prime is 11422530001. The reversal of 11422530000 is 3522411.

11422530000 is a `hidden beast` number, since 114 + 22 + 530 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422530001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 620935 + ... + 639065.

Almost surely, 211422530000 is an apocalyptic number.

11422530000 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 11422530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827680304).

11422530000 is an abundant number, since it is smaller than the sum of its proper divisors (34232830608).

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

11422530000 is a wasteful number, since it uses less digits than its factorization.

11422530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18172 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 11422530000 in words is "eleven billion, four hundred twenty-two million, five hundred thirty thousand".