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120102022211020 = 225711091276109867
BaseRepresentation
bin11011010011101101101110…
…010111101110010111001100
3120202020122022102120100012121
4123103231232113232113030
5111220222420141223040
61103234035102542324
734204041033522463
oct3323555627562714
9522218272510177
10120102022211020
11352a4a88537393
12115786b02979a4
135202758b8c385
142192d7c8cb9da
15dd41e118dc4a
hex6d3b6e5ee5cc

120102022211020 has 96 divisors (see below), whose sum is σ = 260145470914560. Its totient is φ = 46560111655680.

The previous prime is 120102022210999. The next prime is 120102022211053. The reversal of 120102022211020 is 20112220201021.

It is a happy number.

It is a super-3 number, since 3×1201020222110203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120102022210985 and 120102022211003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16602127 + ... + 22711993.

It is an arithmetic number, because the mean of its divisors is an integer number (2709848655360).

Almost surely, 2120102022211020 is an apocalyptic number.

120102022211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102022211020 is an abundant number, since it is smaller than the sum of its proper divisors (140043448703540).

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

120102022211020 is a wasteful number, since it uses less digits than its factorization.

120102022211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110183 (or 6110181 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120102022211020 its reverse (20112220201021), we get a palindrome (140214242412041).

The spelling of 120102022211020 in words is "one hundred twenty trillion, one hundred two billion, twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 71 109 127 142 218 254 284 355 436 508 545 635 710 1090 1270 1420 2180 2540 7739 9017 13843 15478 18034 27686 30956 36068 38695 45085 55372 69215 77390 90170 138430 154780 180340 276860 982853 1965706 3931412 4914265 6109867 9828530 12219734 19657060 24439468 30549335 61098670 122197340 433800557 665975503 775953109 867601114 1331951006 1551906218 1735202228 2169002785 2663902012 3103812436 3329877515 3879765545 4338005570 6659755030 7759531090 8676011140 13319510060 15519062180 47284260713 55092670739 84578888881 94568521426 110185341478 169157777762 189137042852 220370682956 236421303565 275463353695 338315555524 422894444405 472842607130 550926707390 845788888810 945685214260 1101853414780 1691577777620 6005101110551 12010202221102 24020404442204 30025505552755 60051011105510 120102022211020