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1132142232132 = 223231448395337
BaseRepresentation
bin10000011110011000111…
…011111000001001000100
311000020020221100100010200
4100132120323320021010
5122022111402412012
62224033213050500
7144536353123062
oct20363073701104
94006227310120
101132142232132
113a71588587aa
12163500186a30
13829b6c26a42
143cb20233032
151e6b26d53dc
hex10798ef8244

1132142232132 has 18 divisors (see below), whose sum is σ = 2861803975758. Its totient is φ = 377380744032.

The previous prime is 1132142232083. The next prime is 1132142232161. The reversal of 1132142232132 is 2312322412311.

1132142232132 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 422 + 3 + 213 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1131619378176 + 522853956 = 1063776^2 + 22866^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 1132142232096 and 1132142232105.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15724197633 + ... + 15724197704.

Almost surely, 21132142232132 is an apocalyptic number.

1132142232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132142232132 is an abundant number, since it is smaller than the sum of its proper divisors (1729661743626).

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

1132142232132 is a wasteful number, since it uses less digits than its factorization.

1132142232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31448395347 (or 31448395342 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 1132142232132 its reverse (2312322412311), we get a palindrome (3444464644443).

The spelling of 1132142232132 in words is "one trillion, one hundred thirty-two billion, one hundred forty-two million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 31448395337 62896790674 94345186011 125793581348 188690372022 283035558033 377380744044 566071116066 1132142232132