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1132331202000 = 243253371700197
BaseRepresentation
bin10000011110100100001…
…100101111010111010000
311000020202002221000001200
4100132210030233113100
5122023003241431000
62224104043231200
7144544136260455
oct20364414572720
94006662830050
101132331202000
113a7245497649
12163553518500
1382a1711b62b
143cb3b38382c
151e6c40b1500
hex107a432f5d0

1132331202000 has 240 divisors, whose sum is σ = 4061745818832. Its totient is φ = 293793868800.

The previous prime is 1132331201999. The next prime is 1132331202011. The reversal of 1132331202000 is 2021332311.

1132331202000 is a `hidden beast` number, since 1 + 132 + 331 + 2 + 0 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 280904240016 + 851426961984 = 530004^2 + 922728^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184099 + ... + 1516098.

Almost surely, 21132331202000 is an apocalyptic number.

1132331202000 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 1132331202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030872909416).

1132331202000 is an abundant number, since it is smaller than the sum of its proper divisors (2929414616832).

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

1132331202000 is a wasteful number, since it uses less digits than its factorization.

1132331202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700263 (or 1700244 counting only the distinct ones).

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

Adding to 1132331202000 its reverse (2021332311), we get a palindrome (1134352534311).

It can be divided in two parts, 1132331 and 202000, that added together give a palindrome (1334331).

The spelling of 1132331202000 in words is "one trillion, one hundred thirty-two billion, three hundred thirty-one million, two hundred two thousand".