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120001012110 = 23357103616433
BaseRepresentation
bin110111111000010011…
…1100010000110001110
3102110202002002000212000
41233300213202012032
53431230224341420
6131043330053130
711445510526110
oct1576047420616
9373662060760
10120001012110
114698a496581
121b31011a1a6
13b41547cc55
145b4552b3b0
1531c5105690
hex1bf09e218e

120001012110 has 128 divisors (see below), whose sum is σ = 369268623360. Its totient is φ = 27162459648.

The previous prime is 120001012091. The next prime is 120001012111. The reversal of 120001012110 is 11210100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120001012092 and 120001012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113547 + ... + 502886.

It is an arithmetic number, because the mean of its divisors is an integer number (2884911120).

Almost surely, 2120001012110 is an apocalyptic number.

120001012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120001012110 is an abundant number, since it is smaller than the sum of its proper divisors (249267611250).

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

120001012110 is a wasteful number, since it uses less digits than its factorization.

120001012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616559 (or 616553 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120001012110 its reverse (11210100021), we get a palindrome (131211112131).

The spelling of 120001012110 in words is "one hundred twenty billion, one million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 103 105 126 135 189 206 210 270 309 315 378 515 618 630 721 927 945 1030 1442 1545 1854 1890 2163 2781 3090 3605 4326 4635 5562 6489 7210 9270 10815 12978 13905 19467 21630 27810 32445 38934 64890 97335 194670 616433 1232866 1849299 3082165 3698598 4315031 5547897 6164330 8630062 9246495 11095794 12945093 16643691 18492990 21575155 25890186 27739485 33287382 38835279 43150310 55478970 63492599 64725465 77670558 83218455 116505837 126985198 129450930 166436910 190477797 194176395 233011674 317462995 380955594 388352790 444448193 571433391 582529185 634925990 888896386 952388985 1142866782 1165058370 1333344579 1714300173 1904777970 2222240965 2666689158 2857166955 3428600346 4000033737 4444481930 5714333910 6666722895 8000067474 8571500865 12000101211 13333445790 17143001730 20000168685 24000202422 40000337370 60000506055 120001012110