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101143033130 = 25371735692777
BaseRepresentation
bin101111000110010011…
…0000011010100101010
3100200001211110102221002
41132030212003110222
53124120104030010
6114244154115002
710210263411416
oct1361446032452
9320054412832
10101143033130
1139992672887
121772871ba62
1396cb5796c9
144c76ba1d46
15296e7711a5
hex178c98352a

101143033130 has 64 divisors (see below), whose sum is σ = 188457075360. Its totient is φ = 39053389824.

The previous prime is 101143033129. The next prime is 101143033133. The reversal of 101143033130 is 31330341101.

It can be written as a sum of positive squares in 16 ways, for example, as 16489384921 + 84653648209 = 128411^2 + 290953^2 .

It is a super-3 number, since 3×1011430331303 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101143033133) 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 31 ways as a sum of consecutive naturals, for example, 36420302 + ... + 36423078.

Almost surely, 2101143033130 is an apocalyptic number.

101143033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101143033130 is a deficient number, since it is larger than the sum of its proper divisors (87314042230).

101143033130 is a wasteful number, since it uses less digits than its factorization.

101143033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101143033130 its reverse (31330341101), we get a palindrome (132473374231).

The spelling of 101143033130 in words is "one hundred one billion, one hundred forty-three million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 37 74 173 185 346 370 569 865 1138 1730 2777 2845 5554 5690 6401 12802 13885 21053 27770 32005 42106 64010 98437 102749 105265 196874 205498 210530 480421 492185 513745 960842 984370 1027490 1580113 2402105 3160226 3642169 4804210 7284338 7900565 15801130 17775577 18210845 35551154 36421690 58464181 88877885 116928362 177755770 273359549 292320905 546719098 584641810 1366797745 2733595490 10114303313 20228606626 50571516565 101143033130