Search a number
-
+
103042240301 = 7111317101167359
BaseRepresentation
bin101111111110111001…
…0111100111100101101
3100211222012011011101102
41133331302330330231
53142012303142201
6115200440452445
710305324406520
oct1377562747455
9324865134342
10103042240301
113a777727290
1217b7877a125
139941b93430
144db7100bb7
152a3137426b
hex17fdcbcf2d

103042240301 has 128 divisors (see below), whose sum is σ = 149239480320. Its totient is φ = 68461056000.

The previous prime is 103042240243. The next prime is 103042240303.

103042240301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103042240301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042240303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287025560 + ... + 287025918.

It is an arithmetic number, because the mean of its divisors is an integer number (1165933440).

Almost surely, 2103042240301 is an apocalyptic number.

103042240301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103042240301 is a deficient number, since it is larger than the sum of its proper divisors (46197240019).

103042240301 is a wasteful number, since it uses less digits than its factorization.

103042240301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 103042 and 240301, that added together give a palindrome (343343).

The spelling of 103042240301 in words is "one hundred three billion, forty-two million, two hundred forty thousand, three hundred one".

Divisors: 1 7 11 13 17 77 91 101 119 143 167 187 221 359 707 1001 1111 1169 1309 1313 1547 1717 1837 2171 2431 2513 2839 3949 4667 6103 7777 9191 12019 12859 14443 15197 16867 17017 18887 19873 22321 23881 27643 31229 32669 36259 36907 42721 51337 59953 67133 79339 101101 118069 132209 156247 167167 185537 218603 219271 245531 253813 258349 286739 359359 398849 405977 419671 469931 471367 555373 616403 659483 779389 872729 1019201 1298759 1534897 1718717 2007173 2411981 2791943 2841839 3154129 3299569 3727607 4314821 4616381 5185037 5455723 6055253 6109103 6780433 7134407 8013239 8573279 11211211 13249613 16883867 22078903 26093249 36295259 41003677 42386771 47463031 56092673 60012953 66607783 78478477 78718289 88145629 92747291 102939301 145745743 287025739 466254481 551028023 617019403 720575107 865901179 1020220201 1132332311 1338210913 6061308253 7926326177 9367476391 14720320043 103042240301