Search a number
-
+
11010211111992 = 23317192801507071
BaseRepresentation
bin1010000000111000001110…
…1110001110010000111000
31102222120021112122220122110
42200032003232032100320
52420342403021040432
635230004323052320
72214314203203201
oct240160356162070
942876245586573
1011010211111992
11356544a156544
121299a295110a0
1361b348a89561
142a0c7b7705a8
15141602d68dcc
hexa0383b8e438

11010211111992 has 128 divisors (see below), whose sum is σ = 30689620070400. Its totient is φ = 3271209984000.

The previous prime is 11010211111981. The next prime is 11010211111993. The reversal of 11010211111992 is 29911111201011.

It is a super-2 number, since 2×110102111119922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010211111993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21459817 + ... + 21966887.

It is an arithmetic number, because the mean of its divisors is an integer number (239762656800).

Almost surely, 211010211111992 is an apocalyptic number.

11010211111992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010211111992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344810035200).

11010211111992 is an abundant number, since it is smaller than the sum of its proper divisors (19679408958408).

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

11010211111992 is a wasteful number, since it uses less digits than its factorization.

11010211111992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509917 (or 509913 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 30.

The spelling of 11010211111992 in words is "eleven trillion, ten billion, two hundred eleven million, one hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 2801 3876 5602 7752 8403 11204 16806 22408 33612 47617 53219 67224 95234 106438 142851 159657 190468 212876 285702 319314 380936 425752 507071 571404 638628 904723 1014142 1142808 1277256 1521213 1809446 2028284 2714169 3042426 3618892 4056568 5428338 6084852 7237784 8620207 9634349 10856676 12169704 17240414 19268698 21713352 25860621 28903047 34480828 38537396 51721242 57806094 68961656 77074792 103442484 115612188 163783933 206884968 231224376 327567866 491351799 655135732 982703598 1310271464 1420305871 1965407196 2840611742 3930814392 4260917613 5681223484 8521835226 11362446968 17043670452 24145199807 26985811549 34087340904 48290399614 53971623098 72435599421 80957434647 96580799228 107943246196 144871198842 161914869294 193161598456 215886492392 289742397684 323829738588 458758796333 579484795368 647659477176 917517592666 1376276388999 1835035185332 2752552777998 3670070370664 5505105555996 11010211111992