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131020204001221 = 4092254931420633
BaseRepresentation
bin11101110010100110000100…
…101101111100011111000101
3122011220102001021211022120101
4131302212010231330133011
5114133113334211014341
61142353503434204101
736411616536505243
oct3562460455743705
9564812037738511
10131020204001221
11388243a1518297
1212840715283631
1358151c9583c22
14244d5a9a31793
151023209925831
hex772984b7c7c5

131020204001221 has 8 divisors (see below), whose sum is σ = 131341221710360. Its totient is φ = 130699189585152.

The previous prime is 131020204001213. The next prime is 131020204001279. The reversal of 131020204001221 is 122100402020131.

It can be written as a sum of positive squares in 4 ways, for example, as 117407756856196 + 13612447145025 = 10835486^2 + 3689505^2 .

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 131020204001221 - 23 = 131020204001213 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 (131020204007221) 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, 91516321 + ... + 92936953.

It is an arithmetic number, because the mean of its divisors is an integer number (16417652713795).

Almost surely, 2131020204001221 is an apocalyptic number.

It is an amenable number.

131020204001221 is a deficient number, since it is larger than the sum of its proper divisors (321017709139).

131020204001221 is a wasteful number, since it uses less digits than its factorization.

131020204001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646535.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 131020204001221 its reverse (122100402020131), we get a palindrome (253120606021352).

The spelling of 131020204001221 in words is "one hundred thirty-one trillion, twenty billion, two hundred four million, one thousand, two hundred twenty-one".

Divisors: 1 409 225493 1420633 92226637 581038897 320342797069 131020204001221