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12100220103020 = 2257809154369239
BaseRepresentation
bin1011000000010100110101…
…0100100010100101101100
31120211202210010212211121212
42300011031110202211230
53041222222321244040
641422433034413552
72356132506563540
oct260051524424554
946752703784555
1012100220103020
113945746883625
12143512b2912b8
1369a0799a48aa
142db921d75a20
1515eb4b635d65
hexb014d52296c

12100220103020 has 96 divisors (see below), whose sum is σ = 29095689369600. Its totient is φ = 4140773604864.

The previous prime is 12100220103011. The next prime is 12100220103029. The reversal of 12100220103020 is 2030102200121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12100220103011) and next prime (12100220103029).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12100220102986 and 12100220103004.

It is not an unprimeable number, because it can be changed into a prime (12100220103029) 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, 174725561 + ... + 174794799.

It is an arithmetic number, because the mean of its divisors is an integer number (303080097600).

Almost surely, 212100220103020 is an apocalyptic number.

12100220103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100220103020 is an abundant number, since it is smaller than the sum of its proper divisors (16995469266580).

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

12100220103020 is a wasteful number, since it uses less digits than its factorization.

12100220103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71607 (or 71605 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12100220103020 its reverse (2030102200121), we get a palindrome (14130322303141).

The spelling of 12100220103020 in words is "twelve trillion, one hundred billion, two hundred twenty million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 809 1543 1618 3086 3236 4045 5663 6172 7715 8090 10801 11326 15430 16180 21602 22652 28315 30860 43204 54005 56630 69239 108010 113260 138478 216020 276956 346195 484673 692390 969346 1248287 1384780 1938692 2423365 2496574 4846730 4993148 6241435 8738009 9693460 12482870 17476018 24965740 34952036 43690045 56014351 87380090 106835777 112028702 174760180 213671554 224057404 280071755 392100457 427343108 534178885 560143510 747850439 784200914 1068357770 1120287020 1495700878 1568401828 1960502285 2136715540 2991401756 3739252195 3921004570 7478504390 7842009140 14957008780 86430143593 172860287186 345720574372 432150717965 605011005151 864301435930 1210022010302 1728602871860 2420044020604 3025055025755 6050110051510 12100220103020