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121142055531141 = 3213460228392349
BaseRepresentation
bin11011100010110110010101…
…001011111111001010000101
3120212221001211010202010210200
4123202312111023333022011
5111334242412203444031
61105351520402241113
734342140032056521
oct3342662513771205
9525831733663720
10121142055531141
113566606a1a9207
1211706185356199
1352798540a56c8
1421cb441ad6d81
15e012b22be8e6
hex6e2d952ff285

121142055531141 has 6 divisors (see below), whose sum is σ = 174982969100550. Its totient is φ = 80761370354088.

The previous prime is 121142055531131. The next prime is 121142055531193. The reversal of 121142055531141 is 141135550241121.

It is a happy number.

121142055531141 is a `hidden beast` number, since 1 + 2 + 1 + 14 + 20 + 55 + 531 + 1 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114180658236225 + 6961397294916 = 10685535^2 + 2638446^2 .

It is not a de Polignac number, because 121142055531141 - 214 = 121142055514757 is a prime.

It is a super-3 number, since 3×1211420555311413 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121142055531096 and 121142055531105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121142055531131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6730114196166 + ... + 6730114196183.

It is an arithmetic number, because the mean of its divisors is an integer number (29163828183425).

Almost surely, 2121142055531141 is an apocalyptic number.

It is an amenable number.

121142055531141 is a deficient number, since it is larger than the sum of its proper divisors (53840913569409).

121142055531141 is a wasteful number, since it uses less digits than its factorization.

121142055531141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13460228392355 (or 13460228392352 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 121142055531141 in words is "one hundred twenty-one trillion, one hundred forty-two billion, fifty-five million, five hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 13460228392349 40380685177047 121142055531141