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1132013002120 = 23571113136120773
BaseRepresentation
bin10000011110010001001…
…110111001110110001000
311000012220221011202212221
4100132101032321312020
5122021330312031440
62224012315143424
7144533223520150
oct20362116716610
94005827152787
101132013002120
113a70a1912340
12163484a44b74
138299621a890
143cb0add3760
151e6a61a9d4a
hex107913b9d88

1132013002120 has 256 divisors, whose sum is σ = 3422464980480. Its totient is φ = 325439078400.

The previous prime is 1132013002093. The next prime is 1132013002121. The reversal of 1132013002120 is 212003102311.

It is a junction number, because it is equal to n+sod(n) for n = 1132013002094 and 1132013002103.

It is not an unprimeable number, because it can be changed into a prime (1132013002121) 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 63 ways as a sum of consecutive naturals, for example, 54484054 + ... + 54504826.

It is an arithmetic number, because the mean of its divisors is an integer number (13369003830).

Almost surely, 21132013002120 is an apocalyptic number.

1132013002120 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 1132013002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711232490240).

1132013002120 is an abundant number, since it is smaller than the sum of its proper divisors (2290451978360).

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

1132013002120 is a wasteful number, since it uses less digits than its factorization.

1132013002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1132013002120 its reverse (212003102311), we get a palindrome (1344016104431).

The spelling of 1132013002120 in words is "one trillion, one hundred thirty-two billion, thirteen million, two thousand, one hundred twenty".