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1003305301345 = 5521385145989
BaseRepresentation
bin11101001100110011010…
…01111111010101100001
310112220201001221010112101
432212121221333111201
5112414232124120340
62044525002330401
7132325561231054
oct16463151772541
93486631833471
101003305301345
113575547607a6
12142544ab9a01
13737c3cb5b59
14367bb402a9b
151b171a14c9a
hexe999a7f561

1003305301345 has 8 divisors (see below), whose sum is σ = 1206277240680. Its totient is φ = 801103655040.

The previous prime is 1003305301277. The next prime is 1003305301381. The reversal of 1003305301345 is 5431035033001.

It can be written as a sum of positive squares in 4 ways, for example, as 9687086929 + 993618214416 = 98423^2 + 996804^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1003305301345 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 192570390 + ... + 192575599.

It is an arithmetic number, because the mean of its divisors is an integer number (150784655085).

Almost surely, 21003305301345 is an apocalyptic number.

It is an amenable number.

1003305301345 is a deficient number, since it is larger than the sum of its proper divisors (202971939335).

1003305301345 is an equidigital number, since it uses as much as digits as its factorization.

1003305301345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385146515.

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 1003305301345 in words is "one trillion, three billion, three hundred five million, three hundred one thousand, three hundred forty-five".

Divisors: 1 5 521 2605 385145989 1925729945 200661060269 1003305301345