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1003342431411 = 33714091279687
BaseRepresentation
bin11101001100110111101…
…11101000010010110011
310112220210122210112102000
432212123313220102303
5112414321130301121
62044532410225043
7132326521644015
oct16463367502263
93486718715360
101003342431411
11357573711101
12142555425183
13737cb8b62c8
14367c230a1b5
151b174deb526
hexe99bde84b3

1003342431411 has 32 divisors (see below), whose sum is σ = 1511055590400. Its totient is φ = 657860978880.

The previous prime is 1003342431349. The next prime is 1003342431473. The reversal of 1003342431411 is 1141342433001.

1003342431411 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 4 + 243 + 1 + 411 = 666.

It is an interprime number because it is at equal distance from previous prime (1003342431349) and next prime (1003342431473).

It is not a de Polignac number, because 1003342431411 - 27 = 1003342431283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1003342431211) 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 31 ways as a sum of consecutive naturals, for example, 144210 + ... + 1423896.

It is an arithmetic number, because the mean of its divisors is an integer number (47220487200).

Almost surely, 21003342431411 is an apocalyptic number.

1003342431411 is a deficient number, since it is larger than the sum of its proper divisors (507713158989).

1003342431411 is a wasteful number, since it uses less digits than its factorization.

1003342431411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280176 (or 1280170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1003342431411 its reverse (1141342433001), we get a palindrome (2144684864412).

The spelling of 1003342431411 in words is "one trillion, three billion, three hundred forty-two million, four hundred thirty-one thousand, four hundred eleven".

Divisors: 1 3 9 27 71 213 409 639 1227 1917 3681 11043 29039 87117 261351 784053 1279687 3839061 11517183 34551549 90857777 272573331 523391983 817719993 1570175949 2453159979 4710527847 14131583541 37160830793 111482492379 334447477137 1003342431411