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120022020000105 = 35131631334728921
BaseRepresentation
bin11011010010100011001101…
…110111100000100101101001
3120201221222210221021221101220
4123102203031313200211221
5111212420044110000410
61103133204345532253
734165206354122166
oct3322431567404551
9521858727257356
10120022020000105
1135274064360203
12115650a37a4089
1351c8049462132
14218d14d73906d
15dd20ac8d5070
hex6d28cdde0969

120022020000105 has 64 divisors (see below), whose sum is σ = 193872415942656. Its totient is φ = 63401292864000.

The previous prime is 120022020000073. The next prime is 120022020000167. The reversal of 120022020000105 is 501000020220021.

It is not a de Polignac number, because 120022020000105 - 25 = 120022020000073 is a prime.

It is a super-2 number, since 2×1200220200001052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4149981045 + ... + 4150009965.

It is an arithmetic number, because the mean of its divisors is an integer number (3029256499104).

Almost surely, 2120022020000105 is an apocalyptic number.

120022020000105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120022020000105 is a deficient number, since it is larger than the sum of its proper divisors (73850395942551).

120022020000105 is a wasteful number, since it uses less digits than its factorization.

120022020000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33038.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 120022020000105 its reverse (501000020220021), we get a palindrome (621022040220126).

The spelling of 120022020000105 in words is "one hundred twenty trillion, twenty-two billion, twenty million, one hundred five", and thus it is an aban number.

Divisors: 1 3 5 15 131 393 631 655 1893 1965 3155 3347 9465 10041 16735 28921 50205 82661 86763 144605 247983 413305 433815 438457 1239915 1315371 2111957 2192285 3788651 6335871 6576855 10559785 11365953 18249151 18943255 31679355 54747453 56829765 91245755 96798587 273737265 276666367 290395761 483992935 829999101 1383331835 1451978805 2390638781 4149995505 7171916343 11953193905 12680614897 35859581715 38041844691 61079908397 63403074485 183239725191 190209223455 305399541985 916198625955 8001468000007 24004404000021 40007340000035 120022020000105