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10141104201221 = 723373217190901
BaseRepresentation
bin1001001110010010100011…
…1010011101111000000101
31022220110221222200100220002
42103210220322131320011
52312122440133414341
633322431533451045
72064446005305200
oct223445072357005
938813858610802
1010141104201221
11325a8aaa41954
1211794b7340a85
135873c070c506
14270b91270937
15128bd7a7a29b
hex93928e9de05

10141104201221 has 24 divisors (see below), whose sum is σ = 11835539905176. Its totient is φ = 8663842252800.

The previous prime is 10141104201143. The next prime is 10141104201227. The reversal of 10141104201221 is 12210240114101.

It can be written as a sum of positive squares in 4 ways, for example, as 2736093124996 + 7405011076225 = 1654114^2 + 2721215^2 .

It is not a de Polignac number, because 10141104201221 - 226 = 10141037092357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10141104201193 and 10141104201202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141104201227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53026871 + ... + 53217771.

It is an arithmetic number, because the mean of its divisors is an integer number (493147496049).

Almost surely, 210141104201221 is an apocalyptic number.

It is an amenable number.

10141104201221 is a deficient number, since it is larger than the sum of its proper divisors (1694435703955).

10141104201221 is a wasteful number, since it uses less digits than its factorization.

10141104201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194469 (or 194462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10141104201221 its reverse (12210240114101), we get a palindrome (22351344315322).

The spelling of 10141104201221 in words is "ten trillion, one hundred forty-one billion, one hundred four million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 49 337 2359 3217 16513 22519 157633 190901 1084129 1336307 7588903 9354149 53122321 64333637 450335459 614128517 3152348213 4298899619 30092297333 206961310229 1448729171603 10141104201221