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1034211331827 = 3389430383409
BaseRepresentation
bin11110000110010111100…
…11001000111011110011
310122212110222002011002000
433003023303020323303
5113421031100104302
62111035442025043
7134501502163152
oct17031363107363
93585428064060
101034211331827
11369674375953
1214852b348183
13766aaca645b
14380adcd7599
151bd7ee5c31c
hexf0cbcc8ef3

1034211331827 has 16 divisors (see below), whose sum is σ = 1549380276000. Its totient is φ = 681727318272.

The previous prime is 1034211331801. The next prime is 1034211331847. The reversal of 1034211331827 is 7281331124301.

1034211331827 is a `hidden beast` number, since 1 + 0 + 34 + 211 + 331 + 82 + 7 = 666.

It is not a de Polignac number, because 1034211331827 - 26 = 1034211331763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1034211331791 and 1034211331800.

It is not an unprimeable number, because it can be changed into a prime (1034211331847) 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 15 ways as a sum of consecutive naturals, for example, 215189302 + ... + 215194107.

It is an arithmetic number, because the mean of its divisors is an integer number (96836267250).

Almost surely, 21034211331827 is an apocalyptic number.

1034211331827 is a deficient number, since it is larger than the sum of its proper divisors (515168944173).

1034211331827 is an equidigital number, since it uses as much as digits as its factorization.

1034211331827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430383507 (or 430383501 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1034211331827 in words is "one trillion, thirty-four billion, two hundred eleven million, three hundred thirty-one thousand, eight hundred twenty-seven".

Divisors: 1 3 9 27 89 267 801 2403 430383409 1291150227 3873450681 11620352043 38304123401 114912370203 344737110609 1034211331827