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11301031000 = 235375383367
BaseRepresentation
bin10101000011001100…
…00000110001011000
31002011120212212010201
422201212000301120
5141121030443000
65105220151544
7550023115150
oct124146006130
932146785121
1011301031000
11487a156946
1222348385b4
1310b13c67bc
14792c71760
1546220396a
hex2a1980c58

11301031000 has 256 divisors, whose sum is σ = 31248322560. Its totient is φ = 3745497600.

The previous prime is 11301030989. The next prime is 11301031009. The reversal of 11301031000 is 13010311.

It is a super-2 number, since 2×113010310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301031009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30792817 + ... + 30793183.

It is an arithmetic number, because the mean of its divisors is an integer number (122063760).

Almost surely, 211301031000 is an apocalyptic number.

11301031000 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 11301031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624161280).

11301031000 is an abundant number, since it is smaller than the sum of its proper divisors (19947291560).

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

11301031000 is a wasteful number, since it uses less digits than its factorization.

11301031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11301031000 its reverse (13010311), we get a palindrome (11314041311).

The spelling of 11301031000 in words is "eleven billion, three hundred one million, thirty-one thousand".