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1120211332020 = 22325113147894363
BaseRepresentation
bin10000010011010001110…
…011000110101110110100
310222002110110020211000100
4100103101303012232310
5121323143100111040
62214341252314100
7143634611133534
oct20232163065664
93862413224010
101120211332020
113a2096102980
12161130612930
13818351a7131
143c30b8814c4
151e215063b30
hex104d1cc6bb4

1120211332020 has 576 divisors, whose sum is σ = 3952686366720. Its totient is φ = 254266214400.

The previous prime is 1120211331997. The next prime is 1120211332033. The reversal of 1120211332020 is 202331120211.

1120211332020 is a `hidden beast` number, since 1 + 120 + 211 + 332 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120211331984 and 1120211332002.

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 191 ways as a sum of consecutive naturals, for example, 256750359 + ... + 256754721.

It is an arithmetic number, because the mean of its divisors is an integer number (6862302720).

Almost surely, 21120211332020 is an apocalyptic number.

1120211332020 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 1120211332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976343183360).

1120211332020 is an abundant number, since it is smaller than the sum of its proper divisors (2832475034700).

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

1120211332020 is a wasteful number, since it uses less digits than its factorization.

1120211332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4551 counting only the distinct ones).

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

Adding to 1120211332020 its reverse (202331120211), we get a palindrome (1322542452231).

The spelling of 1120211332020 in words is "one trillion, one hundred twenty billion, two hundred eleven million, three hundred thirty-two thousand, twenty".