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131021444431419 = 31491812336950249
BaseRepresentation
bin11101110010100111001110…
…101001110011111000111011
3122011220112020201220200220120
4131302213032221303320323
5114133123404233301134
61142354230505024323
736411662351132643
oct3562471651637073
9564815221820816
10131021444431419
1138824978728913
1212840a007850a3
1358153665629a9
14244d686687523
15102327d79a649
hex7729cea73e3b

131021444431419 has 32 divisors (see below), whose sum is σ = 177598348200000. Its totient is φ = 85911737518080.

The previous prime is 131021444431333. The next prime is 131021444431439. The reversal of 131021444431419 is 914134444120131.

It is a happy number.

It is not a de Polignac number, because 131021444431419 - 213 = 131021444423227 is a prime.

It is a super-2 number, since 2×1310214444314192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131021444431439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15376207 + ... + 22326455.

It is an arithmetic number, because the mean of its divisors is an integer number (5549948381250).

Almost surely, 2131021444431419 is an apocalyptic number.

131021444431419 is a deficient number, since it is larger than the sum of its proper divisors (46576903768581).

131021444431419 is a wasteful number, since it uses less digits than its factorization.

131021444431419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950815.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 131021444431419 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-one thousand, four hundred nineteen".

Divisors: 1 3 149 181 233 447 543 699 26969 34717 42173 80907 104151 126519 6283777 6950249 18851331 20850747 1035587101 1257995069 1619408017 3106761303 3773985207 4858224051 187441265281 241291794533 293112851077 562323795843 723875383599 879338553231 43673814810473 131021444431419