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1132142431420 = 2257211213734423
BaseRepresentation
bin10000011110011000111…
…100101000110010111100
311000020020221201110111201
4100132120330220302330
5122022111430301140
62224033221225244
7144536354613100
oct20363074506274
94006227643451
101132142431420
113a7158984500
12163500262224
13829b6c96670
143cb20285900
151e6b272449a
hex10798f28cbc

1132142431420 has 216 divisors, whose sum is σ = 3273788986272. Its totient is φ = 325730845440.

The previous prime is 1132142431417. The next prime is 1132142431439. The reversal of 1132142431420 is 241342412311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1174329 + ... + 1908751.

It is an arithmetic number, because the mean of its divisors is an integer number (15156430492).

Almost surely, 21132142431420 is an apocalyptic number.

1132142431420 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 1132142431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636894493136).

1132142431420 is an abundant number, since it is smaller than the sum of its proper divisors (2141646554852).

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

1132142431420 is a wasteful number, since it uses less digits than its factorization.

1132142431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734481 (or 734461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1132142431420 its reverse (241342412311), we get a palindrome (1373484843731).

The spelling of 1132142431420 in words is "one trillion, one hundred thirty-two billion, one hundred forty-two million, four hundred thirty-one thousand, four hundred twenty".