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1003312301201 = 7220475761249
BaseRepresentation
bin11101001100110100001…
…00101100010010010001
310112220201120002202112022
432212122010230102101
5112414240422114301
62044525412341225
7132326004563600
oct16463204542221
93486646082468
101003312301201
11357558701901
12142547314815
13737c5596c92
14367bc305a37
151b172448d1b
hexe99a12c491

1003312301201 has 6 divisors (see below), whose sum is σ = 1167118391250. Its totient is φ = 859981972416.

The previous prime is 1003312301179. The next prime is 1003312301213. The reversal of 1003312301201 is 1021032133001.

It can be written as a sum of positive squares in only one way, i.e., 859049068801 + 144263232400 = 926849^2 + 379820^2 .

It is not a de Polignac number, because 1003312301201 - 222 = 1003308106897 is a prime.

It is a super-2 number, since 2×10033123012012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003312301201.

It is not an unprimeable number, because it can be changed into a prime (1003312301291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10237880576 + ... + 10237880673.

It is an arithmetic number, because the mean of its divisors is an integer number (194519731875).

Almost surely, 21003312301201 is an apocalyptic number.

It is an amenable number.

1003312301201 is a deficient number, since it is larger than the sum of its proper divisors (163806090049).

1003312301201 is an equidigital number, since it uses as much as digits as its factorization.

1003312301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20475761263 (or 20475761256 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003312301201 its reverse (1021032133001), we get a palindrome (2024344434202).

The spelling of 1003312301201 in words is "one trillion, three billion, three hundred twelve million, three hundred one thousand, two hundred one".

Divisors: 1 7 49 20475761249 143330328743 1003312301201