Search a number
-
+
11413122442033 = 13172329139557021
BaseRepresentation
bin1010011000010101001100…
…0110111110001100110001
31111102002021010102011122211
42212011103012332030301
52443443033321121113
640135041023132121
72255366546043664
oct246052306761461
944362233364584
1011413122442033
113700307096224
121343b33744041
1364a3396046a0
142b65804576db
1514bd3513db3d
hexa61531be331

11413122442033 has 64 divisors (see below), whose sum is σ = 14149250035200. Its totient is φ = 9091421982720.

The previous prime is 11413122442019. The next prime is 11413122442049. The reversal of 11413122442033 is 33024422131411.

It is a happy number.

It is not a de Polignac number, because 11413122442033 - 213 = 11413122433841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11413122441986 and 11413122442004.

It is not an unprimeable number, because it can be changed into a prime (11413122442433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20211063 + ... + 20768083.

It is an arithmetic number, because the mean of its divisors is an integer number (221082031800).

Almost surely, 211413122442033 is an apocalyptic number.

11413122442033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11413122442033 is a deficient number, since it is larger than the sum of its proper divisors (2736127593167).

11413122442033 is a wasteful number, since it uses less digits than its factorization.

11413122442033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557242.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 11413122442033 its reverse (33024422131411), we get a palindrome (44437544573444).

The spelling of 11413122442033 in words is "eleven trillion, four hundred thirteen billion, one hundred twenty-two million, four hundred forty-two thousand, thirty-three".

Divisors: 1 13 17 23 29 139 221 299 377 391 493 667 1807 2363 3197 4031 5083 6409 8671 11339 30719 41561 52403 54349 68527 92713 147407 557021 706537 890851 1205269 1576121 7241273 9469357 12811483 16153609 20489573 77425919 123101641 166549279 209996917 217795211 274611353 371533007 1006536947 1316240623 1780796137 2245351651 2831337743 3569947589 4829929091 6316061119 17111128099 23150349781 29189571463 30273534329 38170978067 51643087973 82108794547 393555946277 496222714871 671360143649 877932495541 11413122442033