Search a number
-
+
103021001121101 = 72313735922135879
BaseRepresentation
bin10111011011001001110010…
…001011010001110101001101
3111111202201012200220021221212
4113123021302023101311031
5102000344002241333401
61003035110005104205
730462010306033550
oct2733116213216515
9444681180807855
10103021001121101
112a909a63420a88
12b67a1b09b8065
134563ab989100b
141b62358d50697
15bd9c2cad2dbb
hex5db2722d1d4d

103021001121101 has 64 divisors (see below), whose sum is σ = 124176026419200. Its totient is φ = 83562335678976.

The previous prime is 103021001121083. The next prime is 103021001121119. The reversal of 103021001121101 is 101121100120301.

It is an interprime number because it is at equal distance from previous prime (103021001121083) and next prime (103021001121119).

It is not a de Polignac number, because 103021001121101 - 246 = 32652256943437 is a prime.

It is a super-2 number, since 2×1030210011211012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021001121601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17523555680 + ... + 17523561558.

It is an arithmetic number, because the mean of its divisors is an integer number (1940250412800).

Almost surely, 2103021001121101 is an apocalyptic number.

It is an amenable number.

103021001121101 is a deficient number, since it is larger than the sum of its proper divisors (21155025298099).

103021001121101 is a wasteful number, since it uses less digits than its factorization.

103021001121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 103021001121101 its reverse (101121100120301), we get a palindrome (204142101241402).

The spelling of 103021001121101 in words is "one hundred three trillion, twenty-one billion, one million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 7 23 137 161 359 959 2213 2513 3151 5879 8257 15491 22057 41153 49183 50899 57799 135217 303181 344281 356293 794467 805423 946519 1131209 2110561 2122267 5561269 5637961 6973163 7918463 13010227 14773927 18272741 18524729 48542903 48812141 91071589 108841979 127909187 129673103 289146857 299235221 339800321 761893853 1782401099 2024027999 2094646547 2503365517 4670671493 6650377711 12476807693 17523558619 32694700451 40995225277 46552643977 107425444339 286966576939 639881994541 751978110373 4479173961787 14717285874443 103021001121101