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131201404324301 = 6166121121154061
BaseRepresentation
bin11101110101001110110101…
…000110010100100111001101
3122012112201202110012110112102
4131311032311012110213031
5114144100434001334201
61143013032034044445
736430663052030453
oct3565166506244715
9565481673173472
10131201404324301
1138894226366a13
121286b864a19725
135829315aa39cc
1424582790029d3
151027cb26d026b
hex7753b51949cd

131201404324301 has 16 divisors (see below), whose sum is σ = 133561180416816. Its totient is φ = 128848389120000.

The previous prime is 131201404324259. The next prime is 131201404324337. The reversal of 131201404324301 is 103423404102131.

It can be written as a sum of positive squares in 8 ways, for example, as 106896302500 + 131094508021801 = 326950^2 + 11449651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131201404324301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201404524301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851542811 + ... + 851696871.

It is an arithmetic number, because the mean of its divisors is an integer number (8347573776051).

Almost surely, 2131201404324301 is an apocalyptic number.

It is an amenable number.

131201404324301 is a deficient number, since it is larger than the sum of its proper divisors (2359776092515).

131201404324301 is a wasteful number, since it uses less digits than its factorization.

131201404324301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175904.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 131201404324301 its reverse (103423404102131), we get a palindrome (234624808426432).

The spelling of 131201404324301 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred twenty-four thousand, three hundred one".

Divisors: 1 61 661 21121 40321 154061 1288381 9397721 13960981 101834321 851619841 3253922381 6211893581 198489265241 2150842693841 131201404324301