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11331131330022 = 23723251439106453
BaseRepresentation
bin1010010011100011110000…
…0011101100110111100110
31111010020122000200010110120
42210320330003230313212
52441122124110030042
640033241101102410
72246434666066050
oct244707403546746
944106560603416
1011331131330022
113679562263229
121330070b57a06
136426a0b17baa
142b26030988d0
15149b36e65dec
hexa4e3c0ecde6

11331131330022 has 128 divisors (see below), whose sum is σ = 27195539374080. Its totient is φ = 3077314416000.

The previous prime is 11331131329981. The next prime is 11331131330041. The reversal of 11331131330022 is 22003313113311.

It is a super-2 number, since 2×113311313300222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331131329974 and 11331131330001.

It is a congruent number.

It is an unprimeable number.

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, 106389348 + ... + 106495800.

It is an arithmetic number, because the mean of its divisors is an integer number (212465151360).

Almost surely, 211331131330022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331131330022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13597769687040).

11331131330022 is an abundant number, since it is smaller than the sum of its proper divisors (15864408044058).

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

11331131330022 is a wasteful number, since it uses less digits than its factorization.

11331131330022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107178.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331131330022 its reverse (22003313113311), we get a palindrome (33334444443333).

The spelling of 11331131330022 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 251 322 439 483 502 753 878 966 1317 1506 1757 2634 3073 3514 5271 5773 6146 9219 10097 10542 11546 17319 18438 20194 30291 34638 40411 60582 70679 80822 106453 110189 121233 141358 212037 212906 220378 242466 319359 330567 424074 638718 661134 745171 771323 1490342 1542646 2235513 2313969 2448419 2534347 4471026 4627938 4896838 5068694 7345257 7603041 14690514 15206082 17138933 17740429 26719703 34277866 35480858 46732867 51416799 53221287 53439406 80159109 93465734 102833598 106442574 140198601 160318218 187037921 280397202 327130069 374075842 561113763 614553169 654260138 981390207 1074855941 1122227526 1229106338 1843659507 1962780414 2149711882 3224567823 3687319014 4301872183 6449135646 7523991587 8603744366 11729949617 12905616549 15047983174 22571974761 23459899234 25811233098 35189848851 45143949522 70379697702 82109647319 164219294638 246328941957 269788841191 492657883914 539577682382 809366523573 1618733047146 1888521888337 3777043776674 5665565665011 11331131330022