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12022110031100 = 22521373517125791
BaseRepresentation
bin1010111011110001110110…
…0110010000110011111100
31120120022011112000001120012
42232330131212100303330
53033432240131443400
641322514152442352
72350366044122411
oct256743546206374
946508145001505
1012022110031100
113915603773484
121421b703a93b8
136928ac288120
142d7c32202108
1515cac9035d35
hexaef1d990cfc

12022110031100 has 72 divisors (see below), whose sum is σ = 28095351865728. Its totient is φ = 4438837267200.

The previous prime is 12022110031097. The next prime is 12022110031111. The reversal of 12022110031100 is 113001122021.

It is a super-2 number, since 2×120221100311002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95509205 + ... + 95634995.

Almost surely, 212022110031100 is an apocalyptic number.

12022110031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022110031100 is an abundant number, since it is smaller than the sum of its proper divisors (16073241834628).

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

12022110031100 is a wasteful number, since it uses less digits than its factorization.

12022110031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199335 (or 199328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12022110031100 its reverse (113001122021), we get a palindrome (12135111153121).

The spelling of 12022110031100 in words is "twelve trillion, twenty-two billion, one hundred ten million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 73517 125791 147034 251582 294068 367585 503164 628955 735170 955721 1257910 1470340 1635283 1837925 1911442 2515820 3144775 3270566 3675850 3822884 4778605 6289550 6541132 7351700 8176415 9557210 12579100 16352830 19114420 23893025 32705660 40882075 47786050 81764150 95572100 163528300 9247776947 18495553894 36991107788 46238884735 92477769470 120221100311 184955538940 231194423675 240442200622 462388847350 480884401244 601105501555 924777694700 1202211003110 2404422006220 3005527507775 6011055015550 12022110031100