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12023022211101 = 32111767214149801
BaseRepresentation
bin1010111011110101001111…
…1101111101000000011101
31120120101112002102121021200
42232331103331331000131
53033441122141223401
641323144455550113
72350430461410336
oct256752375750035
946511462377250
1012023022211101
113915a31664850
12142218598b339
136929c62576c5
142d7cbb40d28d
1515cb2e16b686
hexaef53f7d01d

12023022211101 has 96 divisors (see below), whose sum is σ = 20369119994496. Its totient is φ = 6752401920000.

The previous prime is 12023022211073. The next prime is 12023022211219. The reversal of 12023022211101 is 10111222032021.

12023022211101 is a `hidden beast` number, since 120 + 230 + 2 + 2 + 211 + 101 = 666.

It is not a de Polignac number, because 12023022211101 - 26 = 12023022211037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023022211801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241396401 + ... + 241446201.

It is an arithmetic number, because the mean of its divisors is an integer number (212178333276).

Almost surely, 212023022211101 is an apocalyptic number.

12023022211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12023022211101 is a deficient number, since it is larger than the sum of its proper divisors (8346097783395).

12023022211101 is a wasteful number, since it uses less digits than its factorization.

12023022211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52043 (or 52040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12023022211101 its reverse (10111222032021), we get a palindrome (22134244243122).

The spelling of 12023022211101 in words is "twelve trillion, twenty-three billion, twenty-two million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 9 11 17 33 51 67 99 153 187 201 561 603 737 1139 1683 2141 2211 3417 6423 6633 10251 12529 19269 23551 36397 37587 49801 70653 109191 112761 143447 149403 211959 327573 400367 430341 448209 547811 846617 1201101 1291023 1577917 1643433 2438599 2539851 3336667 3603303 4733751 4930299 7315797 7619553 9312787 10010001 14201253 21947391 26824589 27938361 30030003 36703337 56723339 80473767 83815083 106623941 110110011 170170017 241421301 319871823 330330033 510510051 623956729 959615469 1172863351 1812606997 1871870187 3518590053 5437820991 5615610561 7143804047 10555770159 16313462973 19938676967 21431412141 59816030901 64294236423 78581844517 121444668799 179448092703 235745533551 364334006397 707236600653 1093002019191 1335891356789 4007674070367 12023022211101