Search a number
-
+
131040413434131 = 3831123468625753
BaseRepresentation
bin11101110010111000111001…
…010010110100000100010011
3122011222100012201102212202120
4131302320321102310010103
5114133431231314343011
61142411045044345323
736413233414034565
oct3562707122640423
9564870181385676
10131040413434131
1138831a22192363
12128446153a5243
13581709a469556
142450565a73335
1510239ddc60a06
hex772e394b4113

131040413434131 has 16 divisors (see below), whose sum is σ = 176983076758656. Its totient is φ = 86230887374016.

The previous prime is 131040413434103. The next prime is 131040413434153. The reversal of 131040413434131 is 131434314040131.

It is not a de Polignac number, because 131040413434131 - 26 = 131040413434067 is a prime.

It is a super-2 number, since 2×1310404134341312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131040413434092 and 131040413434101.

It is not an unprimeable number, because it can be changed into a prime (131040413434171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234033250 + ... + 234592503.

It is an arithmetic number, because the mean of its divisors is an integer number (11061442297416).

Almost surely, 2131040413434131 is an apocalyptic number.

131040413434131 is a deficient number, since it is larger than the sum of its proper divisors (45942663324525).

131040413434131 is a wasteful number, since it uses less digits than its factorization.

131040413434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468626962.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131040413434131 its reverse (131434314040131), we get a palindrome (262474727474262).

The spelling of 131040413434131 in words is "one hundred thirty-one trillion, forty billion, four hundred thirteen million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 83 249 1123 3369 93209 279627 468625753 1405877259 38895937499 116687812497 526266720619 1578800161857 43680137811377 131040413434131