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135053202053 = 72111975412351
BaseRepresentation
bin111110111000111001…
…1000101001010000101
3110220121002102111200102
41331301303011022011
54203042104431203
6142013110453445
712520513163600
oct1756163051205
9426532374612
10135053202053
1152304014680
1222211064285
13c973a70113
146772659337
1537a67c8888
hex1f71cc5285

135053202053 has 48 divisors (see below), whose sum is σ = 172646546688. Its totient is φ = 104464080000.

The previous prime is 135053202013. The next prime is 135053202061. The reversal of 135053202053 is 350202350531.

It is not a de Polignac number, because 135053202053 - 26 = 135053201989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135053202013) 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 47 ways as a sum of consecutive naturals, for example, 57443828 + ... + 57446178.

It is an arithmetic number, because the mean of its divisors is an integer number (3596803056).

Almost surely, 2135053202053 is an apocalyptic number.

It is an amenable number.

135053202053 is a deficient number, since it is larger than the sum of its proper divisors (37593344635).

135053202053 is a wasteful number, since it uses less digits than its factorization.

135053202053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

Adding to 135053202053 its reverse (350202350531), we get a palindrome (485255552584).

The spelling of 135053202053 in words is "one hundred thirty-five billion, fifty-three million, two hundred two thousand, fifty-three".

Divisors: 1 7 11 49 77 197 539 541 1379 2167 2351 3787 5951 9653 15169 16457 25861 26509 41657 106183 106577 115199 181027 291599 463147 746039 1172347 1267189 1271891 3242029 5094617 5222273 8206429 8903237 13990801 22694203 35662319 57445003 62322659 97935607 249636233 250562527 685549249 1753937689 2756187797 12277563823 19293314579 135053202053