Search a number
-
+
131221033231201 = 299658146850449
BaseRepresentation
bin11101110101100001000111…
…000100101010001101100001
3122012121121102102110020202021
4131311201013010222031201
5114144411134001344301
61143030035505421441
736432256350006334
oct3565410704521541
9565547372406667
10131221033231201
11388a1589374221
121287362263a881
13582b12361b614
1424591bbcca61b
151028560a978a1
hex77584712a361

131221033231201 has 8 divisors (see below), whose sum is σ = 135747304857000. Its totient is φ = 126694855499520.

The previous prime is 131221033231111. The next prime is 131221033231219. The reversal of 131221033231201 is 102132330122131.

It can be written as a sum of positive squares in 4 ways, for example, as 13751310892176 + 117469722339025 = 3708276^2 + 10838345^2 .

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 131221033231201 - 27 = 131221033231073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131221033231241) 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, 20624376 + ... + 26226073.

It is an arithmetic number, because the mean of its divisors is an integer number (16968413107125).

Almost surely, 2131221033231201 is an apocalyptic number.

It is an amenable number.

131221033231201 is a deficient number, since it is larger than the sum of its proper divisors (4526271625799).

131221033231201 is an equidigital number, since it uses as much as digits as its factorization.

131221033231201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46947059.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131221033231201 its reverse (102132330122131), we get a palindrome (233353363353332).

The spelling of 131221033231201 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, thirty-three million, two hundred thirty-one thousand, two hundred one".

Divisors: 1 29 96581 2800849 46850449 1358663021 4524863214869 131221033231201