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1142122431132 = 2232291093987003
BaseRepresentation
bin10000100111101011110…
…011010100001010011100
311001012000110211222101200
4100213223303110022130
5122203031320244012
62232403411235500
7145341600325134
oct20475363241234
94035013758350
101142122431132
1140040a378a51
121654265a8b90
13839177a0537
143d3c98bdac4
151ea989813dc
hex109ebcd429c

1142122431132 has 36 divisors (see below), whose sum is σ = 2986584520920. Its totient is φ = 367579632672.

The previous prime is 1142122431091. The next prime is 1142122431193. The reversal of 1142122431132 is 2311342212411.

1142122431132 is a `hidden beast` number, since 1 + 1 + 4 + 212 + 2 + 431 + 13 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1142122431096 and 1142122431105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546992458 + ... + 546994545.

Almost surely, 21142122431132 is an apocalyptic number.

1142122431132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142122431132 is an abundant number, since it is smaller than the sum of its proper divisors (1844462089788).

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

1142122431132 is a wasteful number, since it uses less digits than its factorization.

1142122431132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093987042 (or 1093987037 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 1142122431132 its reverse (2311342212411), we get a palindrome (3453464643543).

The spelling of 1142122431132 in words is "one trillion, one hundred forty-two billion, one hundred twenty-two million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1093987003 2187974006 3281961009 4375948012 6563922018 9845883027 13127844036 19691766054 31725623087 39383532108 63451246174 95176869261 126902492348 190353738522 285530607783 380707477044 571061215566 1142122431132