Search a number
-
+
1142332111332 = 22343525716393
BaseRepresentation
bin10000100111111000010…
…011001011100111100100
311001012120002101211120000
4100213320103023213210
5122203444010030312
62232440301341300
7145350024510516
oct20477023134744
94035502354500
101142332111332
11400507772875
12165484867830
138394c066969
143d4096a1bb6
151eaac09dadc
hex109f84cb9e4

1142332111332 has 30 divisors (see below), whose sum is σ = 2986281785718. Its totient is φ = 380777370336.

The previous prime is 1142332111321. The next prime is 1142332111363. The reversal of 1142332111332 is 2331112332411.

1142332111332 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 321 + 1 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 815452344576 + 326879766756 = 903024^2 + 571734^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 1142332111296 and 1142332111305.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1762857873 + ... + 1762858520.

Almost surely, 21142332111332 is an apocalyptic number.

1142332111332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142332111332 is an abundant number, since it is smaller than the sum of its proper divisors (1843949674386).

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

1142332111332 is a wasteful number, since it uses less digits than its factorization.

1142332111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525716409 (or 3525716398 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1142332111332 its reverse (2331112332411), we get a palindrome (3473444443743).

The spelling of 1142332111332 in words is "one trillion, one hundred forty-two billion, three hundred thirty-two million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3525716393 7051432786 10577149179 14102865572 21154298358 31731447537 42308596716 63462895074 95194342611 126925790148 190388685222 285583027833 380777370444 571166055666 1142332111332