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1052332115241 = 311136123430457
BaseRepresentation
bin11110101000000111110…
…00011100010100101001
310201121020211112022210110
433110003320130110221
5114220134010141431
62123233521204533
7136012525251411
oct17240370342451
93647224468713
101052332115241
11376323054710
1214bb47a90749
13783082463c4
1438d0c7a5641
151c590c23346
hexf503e1c529

1052332115241 has 16 divisors (see below), whose sum is σ = 1531789622208. Its totient is φ = 637308403200.

The previous prime is 1052332115231. The next prime is 1052332115243. The reversal of 1052332115241 is 1425112332501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1052332115241 is a prime.

It is a super-2 number, since 2×10523321152412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052332115199 and 1052332115208.

It is not an unprimeable number, because it can be changed into a prime (1052332115243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11670316 + ... + 11760141.

It is an arithmetic number, because the mean of its divisors is an integer number (95736851388).

Almost surely, 21052332115241 is an apocalyptic number.

1052332115241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1052332115241 is a deficient number, since it is larger than the sum of its proper divisors (479457506967).

1052332115241 is a wasteful number, since it uses less digits than its factorization.

1052332115241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23431832.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1052332115241 its reverse (1425112332501), we get a palindrome (2477444447742).

The spelling of 1052332115241 in words is "one trillion, fifty-two billion, three hundred thirty-two million, one hundred fifteen thousand, two hundred forty-one".

Divisors: 1 3 11 33 1361 4083 14971 44913 23430457 70291371 257735027 773205081 31888851977 95666555931 350777371747 1052332115241