Search a number
-
+
11103102302022 = 234313255185837
BaseRepresentation
bin1010000110010010010001…
…1101111111011101000110
31110022110001021211021220000
42201210210131333131012
52423403123142131042
635340410023422130
72224113140245203
oct241444435773506
943273037737800
1011103102302022
1135a0887879485
1212b3a325b4946
13627030886563
142a557062ccaa
15143c3ce4474c
hexa192477f746

11103102302022 has 80 divisors (see below), whose sum is σ = 24968734609632. Its totient is φ = 3687720566400.

The previous prime is 11103102301969. The next prime is 11103102302023. The reversal of 11103102302022 is 22020320130111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11103102301986 and 11103102302004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103102302023) 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 39 ways as a sum of consecutive naturals, for example, 129308088 + ... + 129393924.

Almost surely, 211103102302022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11103102302022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484367304816).

11103102302022 is an abundant number, since it is smaller than the sum of its proper divisors (13865632307610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11103102302022 is a wasteful number, since it uses less digits than its factorization.

11103102302022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88715 (or 88706 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11103102302022 its reverse (22020320130111), we get a palindrome (33123422432133).

The spelling of 11103102302022 in words is "eleven trillion, one hundred three billion, one hundred two million, three hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 313 626 939 1878 2551 2817 5102 5634 7653 8451 15306 16902 22959 25353 45918 50706 68877 85837 137754 171674 206631 257511 413262 515022 772533 798463 1545066 1596926 2317599 2395389 4635198 4790778 6952797 7186167 13905594 14372334 21558501 26866981 43117002 53733962 64675503 80600943 129351006 161201886 218970187 241802829 437940374 483605658 656910561 725408487 1313821122 1450816974 1970731683 2176225461 3941463366 4352450922 5912195049 11824390098 17736585147 35473170294 68537668531 137075337062 205613005593 411226011186 616839016779 1233678033558 1850517050337 3701034100674 5551551151011 11103102302022