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1132201332000 = 25325337222973
BaseRepresentation
bin10000011110011100011…
…101010100110100100000
311000020102001112220220200
4100132130131110310200
5122022222020111000
62224043123505200
7144541001350644
oct20363435246440
94006361486820
101132201332000
113a7189154372
12163517b28200
13829c624a08b
143cb28018c24
151e6b79ab500
hex1079c754d20

1132201332000 has 432 divisors, whose sum is σ = 4129896941352. Its totient is φ = 293747558400.

The previous prime is 1132201331993. The next prime is 1132201332007. The reversal of 1132201332000 is 2331022311.

1132201332000 is a `hidden beast` number, since 1 + 132 + 201 + 332 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1132201331993) and next prime (1132201332007).

It can be written as a sum of positive squares in 12 ways, for example, as 85107559824 + 1047093772176 = 291732^2 + 1023276^2 .

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 (1132201332007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49272514 + ... + 49295486.

Almost surely, 21132201332000 is an apocalyptic number.

1132201332000 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 1132201332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064948470676).

1132201332000 is an abundant number, since it is smaller than the sum of its proper divisors (2997695609352).

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

1132201332000 is a wasteful number, since it uses less digits than its factorization.

1132201332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23078 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1132201332000 its reverse (2331022311), we get a palindrome (1134532354311).

The spelling of 1132201332000 in words is "one trillion, one hundred thirty-two billion, two hundred one million, three hundred thirty-two thousand".