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1023002103109 = 7245745684013
BaseRepresentation
bin11101110001011111010…
…11010100110101000101
310121210112202221022222211
432320233223110311011
5113230102014244414
62101543301223421
7133623642255100
oct16705753246505
93553482838884
101023002103109
11364942021468
12146321401b71
137561291303c
1437729321737
151b925d3e3c4
hexee2fad4d45

1023002103109 has 12 divisors (see below), whose sum is σ = 1192626869484. Its totient is φ = 874940197824.

The previous prime is 1023002103103. The next prime is 1023002103119. The reversal of 1023002103109 is 9013012003201.

It can be written as a sum of positive squares in 2 ways, for example, as 496538669025 + 526463434084 = 704655^2 + 725578^2 .

It is not a de Polignac number, because 1023002103109 - 225 = 1022968548677 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023002103109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023002103103) 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 11 ways as a sum of consecutive naturals, for example, 22819614 + ... + 22864399.

It is an arithmetic number, because the mean of its divisors is an integer number (99385572457).

Almost surely, 21023002103109 is an apocalyptic number.

It is an amenable number.

1023002103109 is a deficient number, since it is larger than the sum of its proper divisors (169624766375).

1023002103109 is an equidigital number, since it uses as much as digits as its factorization.

1023002103109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45684484 (or 45684477 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 1023002103109 in words is "one trillion, twenty-three billion, two million, one hundred three thousand, one hundred nine".

Divisors: 1 7 49 457 3199 22393 45684013 319788091 2238516637 20877593941 146143157587 1023002103109