Search a number
-
+
133243403124141 = 3229510511123081
BaseRepresentation
bin11110010010111100100101…
…101101100011110110101101
3122110202221111212012101220200
4132102330211231203312231
5114431024442144433031
61151215101355104113
740031342512322232
oct3622744555436655
9573687455171820
10133243403124141
1139501234462732
1212b3b56a142039
135946a5053461b
1424c902d6c5789
151060e778bb8e6
hex792f25b63dad

133243403124141 has 12 divisors (see below), whose sum is σ = 199099338001980. Its totient is φ = 85765868677440.

The previous prime is 133243403124121. The next prime is 133243403124157. The reversal of 133243403124141 is 141421304342331.

133243403124141 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 4 + 3 + 403 + 1 + 241 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77718699904041 + 55524703220100 = 8815821^2 + 7451490^2 .

It is not a de Polignac number, because 133243403124141 - 235 = 133209043385773 is a prime.

It is a super-2 number, since 2×1332434031241412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133243403124096 and 133243403124105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133243403124101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255255561280 + ... + 255255561801.

It is an arithmetic number, because the mean of its divisors is an integer number (16591611500165).

Almost surely, 2133243403124141 is an apocalyptic number.

It is an amenable number.

133243403124141 is a deficient number, since it is larger than the sum of its proper divisors (65855934877839).

133243403124141 is a wasteful number, since it uses less digits than its factorization.

133243403124141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510511123116 (or 510511123113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 133243403124141 its reverse (141421304342331), we get a palindrome (274664707466472).

The spelling of 133243403124141 in words is "one hundred thirty-three trillion, two hundred forty-three billion, four hundred three million, one hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 29 87 261 510511123081 1531533369243 4594600107729 14804822569349 44414467708047 133243403124141