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101303010003 = 31324731050349
BaseRepresentation
bin101111001011000100…
…0010100001011010011
3100200110222111002221110
41132112020110023103
53124432032310003
6114312111024403
710214245243326
oct1362610241323
9320428432843
10101303010003
1139a649a9878
121777220b103
13972575c790
144c901267bd
15297d821a03
hex17962142d3

101303010003 has 16 divisors (see below), whose sum is σ = 145519690400. Its totient is φ = 62315046144.

The previous prime is 101303009953. The next prime is 101303010041. The reversal of 101303010003 is 300010303101.

It is not a de Polignac number, because 101303010003 - 29 = 101303009491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101303010703) 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 15 ways as a sum of consecutive naturals, for example, 428728 + ... + 621621.

It is an arithmetic number, because the mean of its divisors is an integer number (9094980650).

Almost surely, 2101303010003 is an apocalyptic number.

101303010003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101303010003 is a deficient number, since it is larger than the sum of its proper divisors (44216680397).

101303010003 is a wasteful number, since it uses less digits than its factorization.

101303010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052838.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 101303010003 its reverse (300010303101), we get a palindrome (401313313104).

The spelling of 101303010003 in words is "one hundred one billion, three hundred three million, ten thousand, three".

Divisors: 1 3 13 39 2473 7419 32149 96447 1050349 3151047 13654537 40963611 2597513077 7792539231 33767670001 101303010003