Search a number
-
+
103322323131131 = 1353796832779247
BaseRepresentation
bin10111011111100010011010…
…010111100001101011111011
3111112211111222100102101112102
4113133202122113201223323
5102020313104210144011
61003425341525334015
730522535325616656
oct2737423227415373
9445744870371472
10103322323131131
112aa15829888a55
12b708684b6730b
13458633a562b80
141b72b818a289d
15be29b637d73b
hex5df89a5e1afb

103322323131131 has 32 divisors (see below), whose sum is σ = 114972820623360. Its totient is φ = 92255136614784.

The previous prime is 103322323131113. The next prime is 103322323131193. The reversal of 103322323131131 is 131131323223301.

It is a de Polignac number, because none of the positive numbers 2k-103322323131131 is a prime.

It is a super-2 number, since 2×1033223231311312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103322323131094 and 103322323131103.

It is not an unprimeable number, because it can be changed into a prime (103322323139131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35786750 + ... + 38565996.

It is an arithmetic number, because the mean of its divisors is an integer number (3592900644480).

Almost surely, 2103322323131131 is an apocalyptic number.

103322323131131 is a deficient number, since it is larger than the sum of its proper divisors (11650497492229).

103322323131131 is a wasteful number, since it uses less digits than its factorization.

103322323131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780075.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 103322323131131 its reverse (131131323223301), we get a palindrome (234453646354432).

The spelling of 103322323131131 in words is "one hundred three trillion, three hundred twenty-two billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 53 79 683 689 1027 4187 8879 36199 53957 54431 470587 701441 2779247 2859721 36130211 37176373 147300091 219560513 1898225701 1914901183 2854286669 11636707189 24676934113 100605962153 149959830379 151277193457 1307877507989 1949477794927 7947871010087 103322323131131