Search a number
-
+
103140421131 = 31163114873331
BaseRepresentation
bin110000000001110100…
…1011110111000001011
3100212020000220021011110
41200003221132320023
53142212421434011
6115214305101403
710310626054146
oct1400351367013
9325200807143
10103140421131
113a818095a70
1217ba5627863
13995931abb7
144dc617b05d
152a39cb9ba6
hex1803a5ee0b

103140421131 has 32 divisors (see below), whose sum is σ = 150406373376. Its totient is φ = 62349588000.

The previous prime is 103140421079. The next prime is 103140421133. The reversal of 103140421131 is 131124041301.

It is not a de Polignac number, because 103140421131 - 27 = 103140421003 is a prime.

It is a super-2 number, since 2×1031404211312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103140421098 and 103140421107.

It is not an unprimeable number, because it can be changed into a prime (103140421133) 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, 30962136 + ... + 30965466.

It is an arithmetic number, because the mean of its divisors is an integer number (4700199168).

Almost surely, 2103140421131 is an apocalyptic number.

103140421131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103140421131 is a deficient number, since it is larger than the sum of its proper divisors (47265952245).

103140421131 is a wasteful number, since it uses less digits than its factorization.

103140421131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463.

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

Adding to 103140421131 its reverse (131124041301), we get a palindrome (234264462432).

The spelling of 103140421131 in words is "one hundred three billion, one hundred forty million, four hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 631 1487 1893 3331 4461 6941 9993 16357 20823 36641 49071 109923 938297 2101861 2814891 4953197 6305583 10321267 14859591 23120471 30963801 54485167 69361413 163455501 3125467307 9376401921 34380140377 103140421131