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101142134310 = 2357268804173
BaseRepresentation
bin101111000110010001…
…0100111111000100110
3100200001202202202222110
41132030202213320212
53124114341244220
6114244122541450
710210252646100
oct1361442477046
9320052682873
10101142134310
1139992109558
1217728367886
1396cb323569
144c76a0a570
15296e644be0
hex178c8a7e26

101142134310 has 48 divisors (see below), whose sum is σ = 282372330096. Its totient is φ = 23118201792.

The previous prime is 101142134263. The next prime is 101142134329. The reversal of 101142134310 is 13431241101.

It is a super-2 number, since 2×1011421343102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34400617 + ... + 34403556.

It is an arithmetic number, because the mean of its divisors is an integer number (5882756877).

Almost surely, 2101142134310 is an apocalyptic number.

101142134310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101142134310 is an abundant number, since it is smaller than the sum of its proper divisors (181230195786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101142134310 is a wasteful number, since it uses less digits than its factorization.

101142134310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68804197 (or 68804190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101142134310 its reverse (13431241101), we get a palindrome (114573375411).

The spelling of 101142134310 in words is "one hundred one billion, one hundred forty-two million, one hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 68804173 137608346 206412519 344020865 412825038 481629211 688041730 963258422 1032062595 1444887633 2064125190 2408146055 2889775266 3371404477 4816292110 6742808954 7224438165 10114213431 14448876330 16857022385 20228426862 33714044770 50571067155 101142134310