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131214000041 = 612160199581
BaseRepresentation
bin111101000110011110…
…1101011111110101001
3110112200112021211121022
41322030331223332221
54122211241000131
6140140123222225
712323414412035
oct1721475537651
9415615254538
10131214000041
1150713978353
122151b377975
13c4b155b457
1464ca8011c5
15362e71737b
hex1e8cf6bfa9

131214000041 has 8 divisors (see below), whose sum is σ = 133372562568. Its totient is φ = 129055680000.

The previous prime is 131213999993. The next prime is 131214000067. The reversal of 131214000041 is 140000412131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32843950441 + 98370049600 = 181229^2 + 313640^2 .

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 131214000041 - 26 = 131213999977 is a prime.

It is a super-2 number, since 2×1312140000412 (a number of 23 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 = 131213999983 and 131214000019.

It is not an unprimeable number, because it can be changed into a prime (131214000091) 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, 1267871 + ... + 1367451.

It is an arithmetic number, because the mean of its divisors is an integer number (16671570321).

Almost surely, 2131214000041 is an apocalyptic number.

It is an amenable number.

131214000041 is a deficient number, since it is larger than the sum of its proper divisors (2158562527).

131214000041 is an equidigital number, since it uses as much as digits as its factorization.

131214000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121243.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131214000041 its reverse (140000412131), we get a palindrome (271214412172).

The spelling of 131214000041 in words is "one hundred thirty-one billion, two hundred fourteen million, forty-one", and thus it is an aban number.

Divisors: 1 61 21601 99581 1317661 6074441 2151049181 131214000041