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10141144221321 = 33894220201507
BaseRepresentation
bin1001001110010010101101…
…0011001000011010001001
31022220111001202222121011000
42103210223103020122021
52312123030410040241
633322435523325213
72064450002415651
oct223445323103211
938814052877130
1010141144221321
11325a920596613
121179508820809
135873c8ab2249
14270b966cb361
15128bdb332eb6
hex9392b4c8689

10141144221321 has 16 divisors (see below), whose sum is σ = 15192725428800. Its totient is φ = 6684799185504.

The previous prime is 10141144221301. The next prime is 10141144221331. The reversal of 10141144221321 is 12312244114101.

10141144221321 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 1 + 442 + 213 + 2 + 1 = 666.

It is not a de Polignac number, because 10141144221321 - 25 = 10141144221289 is a prime.

It is a super-2 number, since 2×101411442213212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10141144221301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110098351 + ... + 2110103156.

It is an arithmetic number, because the mean of its divisors is an integer number (949545339300).

Almost surely, 210141144221321 is an apocalyptic number.

It is an amenable number.

10141144221321 is a deficient number, since it is larger than the sum of its proper divisors (5051581207479).

10141144221321 is an equidigital number, since it uses as much as digits as its factorization.

10141144221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220201605 (or 4220201599 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10141144221321 its reverse (12312244114101), we get a palindrome (22453388335422).

The spelling of 10141144221321 in words is "ten trillion, one hundred forty-one billion, one hundred forty-four million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 89 267 801 2403 4220201507 12660604521 37981813563 113945440689 375597934123 1126793802369 3380381407107 10141144221321