Search a number
-
+
103130340314001 = 371113373472674853
BaseRepresentation
bin10111011100101111100111…
…010011001100101110010001
3111112011011102201212210101220
4113130233213103030232101
5102004141414110022001
61003201231351315253
730502630654606650
oct2734574723145621
9445134381783356
10103130340314001
112a951371560a20
12b69742637bb29
1345711c31c1bb0
141b6776c47d197
15bdc9cbb9ac36
hex5dcbe74ccb91

103130340314001 has 128 divisors (see below), whose sum is σ = 190161319735296. Its totient is φ = 47977857377280.

The previous prime is 103130340313969. The next prime is 103130340314009. The reversal of 103130340314001 is 100413043031301.

It is not a de Polignac number, because 103130340314001 - 25 = 103130340313969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103130340314009) 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, 37218091 + ... + 39892943.

It is an arithmetic number, because the mean of its divisors is an integer number (1485635310432).

Almost surely, 2103130340314001 is an apocalyptic number.

103130340314001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103130340314001 is a deficient number, since it is larger than the sum of its proper divisors (87030979421295).

103130340314001 is a wasteful number, since it uses less digits than its factorization.

103130340314001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675271.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103130340314001 its reverse (100413043031301), we get a palindrome (203543383345302).

The spelling of 103130340314001 in words is "one hundred three trillion, one hundred thirty billion, three hundred forty million, three hundred fourteen thousand, one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 347 407 429 481 777 1001 1041 1221 1443 2429 2849 3003 3367 3817 4511 5291 7287 8547 10101 11451 12839 13533 15873 26719 31577 37037 38517 49621 80157 89873 94731 111111 141229 148863 166907 269619 347347 423687 500721 988603 1042041 1168349 1835977 2674853 2965809 3505047 5507931 8024559 12851839 18723971 29423383 34773089 38555517 56171913 88270149 98969561 104319267 205963681 243411623 296908683 382503979 617891043 692786927 730234869 928173991 1088665171 1147511937 1286604293 2078360781 2677527853 2784521973 3265995513 3859812879 6497217937 7620656197 8032583559 9006230051 10209913901 12066261883 14152647223 19491653811 22861968591 27018690153 30629741703 34342437667 36198785649 42457941669 71469397307 84463833181 99068530561 103027313001 132728880713 214408191921 240397063669 253391499543 297205591683 377766814337 398186642139 446451689671 721191191007 929102164991 1133300443011 1339355069013 2644367700359 2787306494973 3125161827697 4910968586381 7933103101077 9375485483091 14732905759143 34376780104667 103130340314001