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254121422100141 = 3487317431547951
BaseRepresentation
bin111001110001111101000001…
…000110000001011010101101
31020022202202210211120210210110
4321301331001012001122231
5231302011133024201031
62300245434125530233
7104345444510624031
oct7161750106013255
91208682724523713
10254121422100141
1173a75320930aa2
1224602526113979
13aba47164b06cb
1446a77846da1c1
151e5a43491cc46
hexe71f411816ad

254121422100141 has 16 divisors (see below), whose sum is σ = 339525998563328. Its totient is φ = 169065566982000.

The previous prime is 254121422100109. The next prime is 254121422100167. The reversal of 254121422100141 is 141001224121452.

It is a happy number.

It is not a de Polignac number, because 254121422100141 - 25 = 254121422100109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 254121422100099 and 254121422100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254121422100041) 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 15 ways as a sum of consecutive naturals, for example, 463492716 + ... + 464040666.

It is an arithmetic number, because the mean of its divisors is an integer number (21220374910208).

Almost surely, 2254121422100141 is an apocalyptic number.

It is an amenable number.

254121422100141 is a deficient number, since it is larger than the sum of its proper divisors (85404576463187).

254121422100141 is a wasteful number, since it uses less digits than its factorization.

254121422100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865872.

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 254121422100141 its reverse (141001224121452), we get a palindrome (395122646221593).

The spelling of 254121422100141 in words is "two hundred fifty-four trillion, one hundred twenty-one billion, four hundred twenty-two million, one hundred thousand, one hundred forty-one".

Divisors: 1 3 487 1461 317431 547951 952293 1643853 154588897 266852137 463766691 800556411 173936633881 521809901643 84707140700047 254121422100141