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1132211322000 = 2432531117379091
BaseRepresentation
bin10000011110011101000…
…011011011110010010000
311000020102202100110121200
4100132131003123302100
5122022232044301000
62224044121551200
7144541152306213
oct20363503336220
94006382313550
101132211322000
113a7193857a70
1216351b345500
13829c8337215
143cb2949977a
151e6b87d1500
hex1079d0dbc90

1132211322000 has 960 divisors, whose sum is σ = 4691658786048. Its totient is φ = 251320320000.

The previous prime is 1132211321987. The next prime is 1132211322007. The reversal of 1132211322000 is 2231122311.

1132211322000 is a `hidden beast` number, since 1 + 132 + 211 + 322 + 0 + 0 + 0 = 666.

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 (1132211322007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 124537455 + ... + 124546545.

Almost surely, 21132211322000 is an apocalyptic number.

1132211322000 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 1132211322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345829393024).

1132211322000 is an abundant number, since it is smaller than the sum of its proper divisors (3559447464048).

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

1132211322000 is a wasteful number, since it uses less digits than its factorization.

1132211322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1132211322000 its reverse (2231122311), we get a palindrome (1134442444311).

The spelling of 1132211322000 in words is "one trillion, one hundred thirty-two billion, two hundred eleven million, three hundred twenty-two thousand".