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11430120132 = 2232535990629
BaseRepresentation
bin10101010010100100…
…11100101011000100
31002111120210021010200
422221102130223010
5141402102321012
65130111050500
7553151263254
oct125122345304
932446707120
1011430120132
114936006482
12226bb10a30
1311020837c2
147a6075964
1546d7023dc
hex2a949cac4

11430120132 has 36 divisors (see below), whose sum is σ = 29437955820. Its totient is φ = 3738151872.

The previous prime is 11430120127. The next prime is 11430120133. The reversal of 11430120132 is 23102103411.

11430120132 is a `hidden beast` number, since 1 + 1 + 430 + 1 + 201 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9341995716 + 2088124416 = 96654^2 + 45696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (11430120133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2993407 + ... + 2997222.

It is an arithmetic number, because the mean of its divisors is an integer number (817720995).

Almost surely, 211430120132 is an apocalyptic number.

11430120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11430120132 is an abundant number, since it is smaller than the sum of its proper divisors (18007835688).

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

11430120132 is a wasteful number, since it uses less digits than its factorization.

11430120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990692 (or 5990687 counting only the distinct ones).

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

Adding to 11430120132 its reverse (23102103411), we get a palindrome (34532223543).

The spelling of 11430120132 in words is "eleven billion, four hundred thirty million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 5990629 11981258 17971887 23962516 35943774 53915661 71887548 107831322 215662644 317503337 635006674 952510011 1270013348 1905020022 2857530033 3810040044 5715060066 11430120132