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1003144500401 = 29216116007029
BaseRepresentation
bin11101001100100000001…
…00100101010010110001
310112220021212100121002212
432212100010211102301
5112413414443003101
62044501020021505
7132321566364461
oct16462004452261
93486255317085
101003144500401
11357481a1165a
121424bb091895
13737998a4974
14367a3d05ba1
151b1628501bb
hexe9901254b1

1003144500401 has 8 divisors (see below), whose sum is σ = 1038215965800. Its totient is φ = 968105053440.

The previous prime is 1003144500389. The next prime is 1003144500437. The reversal of 1003144500401 is 1040054413001.

It can be written as a sum of positive squares in 4 ways, for example, as 66267630625 + 936876869776 = 257425^2 + 967924^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1003144500401 - 222 = 1003140306097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003144500461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7940846 + ... + 8066183.

It is an arithmetic number, because the mean of its divisors is an integer number (129776995725).

Almost surely, 21003144500401 is an apocalyptic number.

It is an amenable number.

1003144500401 is a deficient number, since it is larger than the sum of its proper divisors (35071465399).

1003144500401 is a wasteful number, since it uses less digits than its factorization.

1003144500401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16009219.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 1003144500401 its reverse (1040054413001), we get a palindrome (2043198913402).

The spelling of 1003144500401 in words is "one trillion, three billion, one hundred forty-four million, five hundred thousand, four hundred one".

Divisors: 1 29 2161 62669 16007029 464203841 34591189669 1003144500401