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11430130140 = 2232511132343449
BaseRepresentation
bin10101010010100100…
…11111000111011100
31002111120210202212100
422221102133013130
5141402103131030
65130111205100
7553151334402
oct125122370734
932446722770
1011430130140
114936012a50
12226bb16790
131102088220
147a6079472
1546d705360
hex2a949f1dc

11430130140 has 576 divisors, whose sum is σ = 43589145600. Its totient is φ = 2384363520.

The previous prime is 11430130123. The next prime is 11430130157. The reversal of 11430130140 is 4103103411.

It is an interprime number because it is at equal distance from previous prime (11430130123) and next prime (11430130157).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25456636 + ... + 25457084.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600).

Almost surely, 211430130140 is an apocalyptic number.

11430130140 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 11430130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

11430130140 is an abundant number, since it is smaller than the sum of its proper divisors (32159015460).

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

11430130140 is a wasteful number, since it uses less digits than its factorization.

11430130140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11430130140 its reverse (4103103411), we get a palindrome (15533233551).

It can be divided in two parts, 114301 and 30140, that added together give a palindrome (144441).

The spelling of 11430130140 in words is "eleven billion, four hundred thirty million, one hundred thirty thousand, one hundred forty".