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10141200131221 = 293744921049573
BaseRepresentation
bin1001001110010010111010…
…1000011010010010010101
31022220111012200012010010001
42103210232220122102111
52312123134213144341
633322445241531301
72064451251556405
oct223445650322225
938814180163101
1010141200131221
11325a94a103545
1211795234a3b31
13587407559623
14270b9dcc2805
15128be11c8d31
hex9392ea1a495

10141200131221 has 16 divisors (see below), whose sum is σ = 10798431462000. Its totient is φ = 9505649922048.

The previous prime is 10141200131171. The next prime is 10141200131243. The reversal of 10141200131221 is 12213100214101.

It can be written as a sum of positive squares in 8 ways, for example, as 492032102500 + 9649168028721 = 701450^2 + 3106311^2 .

It is a cyclic number.

It is not a de Polignac number, because 10141200131221 - 213 = 10141200123029 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 (10141200131261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10043010 + ... + 11006563.

It is an arithmetic number, because the mean of its divisors is an integer number (674901966375).

Almost surely, 210141200131221 is an apocalyptic number.

It is an amenable number.

10141200131221 is a deficient number, since it is larger than the sum of its proper divisors (657231330779).

10141200131221 is a wasteful number, since it uses less digits than its factorization.

10141200131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21050088.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10141200131221 its reverse (12213100214101), we get a palindrome (22354300345322).

The spelling of 10141200131221 in words is "ten trillion, one hundred forty-one billion, two hundred million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 29 37 449 1073 13021 16613 481777 21049573 610437617 778834201 9451258277 22586191829 274086490033 349696556249 10141200131221