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135122303253 = 3741223797883
BaseRepresentation
bin111110111010111101…
…0101011100100010101
3110220202220110012201010
41331311322223210111
54203212302201003
6142024015522433
712522312425040
oct1756572534425
9426686405633
10135122303253
115233a021403
1222230229419
13c9851857c2
14677b8c5c57
1537ac8c8003
hex1f75eab915

135122303253 has 64 divisors (see below), whose sum is σ = 212374536192. Its totient is φ = 74812792320.

The previous prime is 135122303221. The next prime is 135122303263. The reversal of 135122303253 is 352303221531.

It is a happy number.

It is not a de Polignac number, because 135122303253 - 25 = 135122303221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135122303253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135122303213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153025950 + ... + 153026832.

It is an arithmetic number, because the mean of its divisors is an integer number (3318352128).

Almost surely, 2135122303253 is an apocalyptic number.

It is an amenable number.

135122303253 is a deficient number, since it is larger than the sum of its proper divisors (77252232939).

135122303253 is a wasteful number, since it uses less digits than its factorization.

135122303253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954.

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 135122303253 its reverse (352303221531), we get a palindrome (487425524784).

The spelling of 135122303253 in words is "one hundred thirty-five billion, one hundred twenty-two million, three hundred three thousand, two hundred fifty-three".

Divisors: 1 3 7 21 41 123 223 287 669 797 861 883 1561 2391 2649 4683 5579 6181 9143 16737 18543 27429 32677 36203 64001 98031 108609 177731 192003 196909 228739 253421 533193 590727 686217 703751 760263 1244117 1378363 2111253 3732351 4135089 4926257 7286971 8073269 14778771 21860913 24219807 28853791 51008797 56512883 86561373 153026391 156936473 169538649 201976537 470809419 605929611 1098555311 3295665933 6434395393 19303186179 45040767751 135122303253