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101141333121 = 3192118409523
BaseRepresentation
bin101111000110001111…
…1100100010010000001
3100200001201021001221210
41132030133210102001
53124114140124441
6114244053440333
710210243101213
oct1361437442201
9320051231853
10101141333121
1139991711614
12177280400a9
1396cb10299a
144c7687c5b3
15296e537616
hex178c7e4481

101141333121 has 16 divisors (see below), whose sum is σ = 142625527040. Its totient is φ = 63575986320.

The previous prime is 101141333113. The next prime is 101141333129. The reversal of 101141333121 is 121333141101.

It is an interprime number because it is at equal distance from previous prime (101141333113) and next prime (101141333129).

It is not a de Polignac number, because 101141333121 - 23 = 101141333113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101141333129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4192735 + ... + 4216788.

It is an arithmetic number, because the mean of its divisors is an integer number (8914095440).

Almost surely, 2101141333121 is an apocalyptic number.

It is an amenable number.

101141333121 is a deficient number, since it is larger than the sum of its proper divisors (41484193919).

101141333121 is a wasteful number, since it uses less digits than its factorization.

101141333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409756.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101141333121 its reverse (121333141101), we get a palindrome (222474474222).

The spelling of 101141333121 in words is "one hundred one billion, one hundred forty-one million, three hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 19 57 211 633 4009 12027 8409523 25228569 159780937 479342811 1774409353 5323228059 33713777707 101141333121