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131011142033041 = 3531181314256037
BaseRepresentation
bin11101110010011101101000…
…100101010001111010010001
3122011212112122202010122012021
4131302131220211101322101
5114132441304330024131
61142345404320531441
736411146142162034
oct3562355045217221
9564775582118167
10131011142033041
1138820571251496
121283aa06480b81
1358143b4017b8a
14244cd8a2c901b
151022d790a7e11
hex772768951e91

131011142033041 has 8 divisors (see below), whose sum is σ = 131493525468264. Its totient is φ = 130529387112960.

The previous prime is 131011142033021. The next prime is 131011142033111. The reversal of 131011142033041 is 140330241110131.

It can be written as a sum of positive squares in 4 ways, for example, as 12845980688641 + 118165161344400 = 3584129^2 + 10870380^2 .

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 131011142033041 - 213 = 131011142024849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131011142032997 and 131011142033015.

It is not an unprimeable number, because it can be changed into a prime (131011142033021) 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, 156711126 + ... + 157544911.

It is an arithmetic number, because the mean of its divisors is an integer number (16436690683533).

Almost surely, 2131011142033041 is an apocalyptic number.

It is an amenable number.

131011142033041 is a deficient number, since it is larger than the sum of its proper divisors (482383435223).

131011142033041 is a wasteful number, since it uses less digits than its factorization.

131011142033041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314257571.

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

Adding to 131011142033041 its reverse (140330241110131), we get a palindrome (271341383143172).

The spelling of 131011142033041 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, thirty-three thousand, forty-one".

Divisors: 1 353 1181 416893 314256037 110932381061 371136379697 131011142033041