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131021434110321 = 32116312517572763
BaseRepresentation
bin11101110010100111001110…
…000010011100000101110001
3122011220112020000111100000200
4131302213032002130011301
5114133123344113012241
61142354225455505413
736411662164325166
oct3562471602340561
9564815200440020
10131021434110321
1138824972919487
12128409b9228269
13581536438ac31
14244d68515c06d
15102327c90c4b6
hex7729ce09c171

131021434110321 has 12 divisors (see below), whose sum is σ = 189415911064848. Its totient is φ = 87272517296664.

The previous prime is 131021434110313. The next prime is 131021434110349. The reversal of 131021434110321 is 123011434120131.

131021434110321 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 214 + 3 + 411 + 0 + 32 + 1 = 666.

It is not a de Polignac number, because 131021434110321 - 23 = 131021434110313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131021434110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6258775915 + ... + 6258796848.

It is an arithmetic number, because the mean of its divisors is an integer number (15784659255404).

Almost surely, 2131021434110321 is an apocalyptic number.

It is an amenable number.

131021434110321 is a deficient number, since it is larger than the sum of its proper divisors (58394476954527).

131021434110321 is a wasteful number, since it uses less digits than its factorization.

131021434110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517573932 (or 12517573929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131021434110321 its reverse (123011434120131), we get a palindrome (254032868230452).

The spelling of 131021434110321 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred thirty-four million, one hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 9 1163 3489 10467 12517572763 37552718289 112658154867 14557937123369 43673811370107 131021434110321