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131142103013041 = 10712239100141117
BaseRepresentation
bin11101110100010111100110…
…011101110001011010110001
3122012100001200122022201112221
4131310113212131301122301
5114142113011332404131
61142525503405121041
736423463365143251
oct3564274635613261
9565301618281487
10131142103013041
113887106531306a
1212860274b59181
135823855017113
142455451265961
151026491491411
hex7745e67716b1

131142103013041 has 8 divisors (see below), whose sum is σ = 132378546706560. Its totient is φ = 129905859626448.

The previous prime is 131142103013029. The next prime is 131142103013093. The reversal of 131142103013041 is 140310301241131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131142103013041 - 27 = 131142103012913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131142103012997 and 131142103013015.

It is not an unprimeable number, because it can be changed into a prime (131142103013011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48760986 + ... + 51380131.

It is an arithmetic number, because the mean of its divisors is an integer number (16547318338320).

Almost surely, 2131142103013041 is an apocalyptic number.

It is an amenable number.

131142103013041 is a deficient number, since it is larger than the sum of its proper divisors (1236443693519).

131142103013041 is a wasteful number, since it uses less digits than its factorization.

131142103013041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100153463.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131142103013041 its reverse (140310301241131), we get a palindrome (271452404254172).

The spelling of 131142103013041 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, thirteen thousand, forty-one".

Divisors: 1 107 12239 1309573 100141117 10715099519 1225627130963 131142103013041