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1133022012120 = 2332519274960257
BaseRepresentation
bin10000011111001101010…
…111111110001011011000
311000022112020210210101200
4100133031113332023120
5122030412113341440
62224300401514200
7144600225125235
oct20371527761330
94008466723350
101133022012120
113a756a42a4a9
12163706942960
1382ac7290b0b
143cba500878c
151e714a6ac30
hex107cd5fe2d8

1133022012120 has 192 divisors, whose sum is σ = 3877602300000. Its totient is φ = 286128267264.

The previous prime is 1133022012097. The next prime is 1133022012121. The reversal of 1133022012120 is 212102203311.

1133022012120 is a `hidden beast` number, since 11 + 330 + 2 + 201 + 2 + 120 = 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 = 1133022012093 and 1133022012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133022012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18773032 + ... + 18833288.

Almost surely, 21133022012120 is an apocalyptic number.

1133022012120 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 1133022012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938801150000).

1133022012120 is an abundant number, since it is smaller than the sum of its proper divisors (2744580287880).

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

1133022012120 is a wasteful number, since it uses less digits than its factorization.

1133022012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63042 (or 63035 counting only the distinct ones).

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

Adding to 1133022012120 its reverse (212102203311), we get a palindrome (1345124215431).

The spelling of 1133022012120 in words is "one trillion, one hundred thirty-three billion, twenty-two million, twelve thousand, one hundred twenty".