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101303104131 = 321011091102149
BaseRepresentation
bin101111001011000100…
…0101011001010000011
3100200110222122220001200
41132112020223022003
53124432043313011
6114312113032243
710214246114625
oct1362610531203
9320428586050
10101303104131
1139a64a63569
1217772255683
139725793588
144c9014cc15
15297d83e856
hex179622b283

101303104131 has 24 divisors (see below), whose sum is σ = 147912382800. Its totient is φ = 66804792000.

The previous prime is 101303104129. The next prime is 101303104151. The reversal of 101303104131 is 131401303101.

It is not a de Polignac number, because 101303104131 - 21 = 101303104129 is a prime.

It is a super-2 number, since 2×1013031041312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101303104151) 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 23 ways as a sum of consecutive naturals, for example, 940645 + ... + 1042793.

It is an arithmetic number, because the mean of its divisors is an integer number (6163015950).

Almost surely, 2101303104131 is an apocalyptic number.

101303104131 is a deficient number, since it is larger than the sum of its proper divisors (46609278669).

101303104131 is a wasteful number, since it uses less digits than its factorization.

101303104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103347 (or 103344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101303104131 its reverse (131401303101), we get a palindrome (232704407232).

The spelling of 101303104131 in words is "one hundred one billion, three hundred three million, one hundred four thousand, one hundred thirty-one".

Divisors: 1 3 9 101 303 909 1091 3273 9819 102149 110191 306447 330573 919341 991719 10317049 30951147 92853441 111444559 334333677 1003001031 11255900459 33767701377 101303104131