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10112120112220 = 2257431557330071
BaseRepresentation
bin1001001100100110100101…
…0100111100010001011100
31022210201011001000002102021
42103021221110330101130
52311134110222042340
633301235512105524
72062401522516040
oct223115124742134
938721131002367
1010112120112220
1132495871a9895
1211739686952a4
135847519657a9
1426d601b16020
1512808d226e4a
hex9326953c45c

10112120112220 has 96 divisors (see below), whose sum is σ = 24330571001856. Its totient is φ = 3458232825600.

The previous prime is 10112120112197. The next prime is 10112120112221. The reversal of 10112120112220 is 2221102121101.

It is a super-3 number, since 3×101121201122203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112120112194 and 10112120112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112120112221) 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, 336259785 + ... + 336289855.

It is an arithmetic number, because the mean of its divisors is an integer number (253443447936).

Almost surely, 210112120112220 is an apocalyptic number.

10112120112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112120112220 is an abundant number, since it is smaller than the sum of its proper divisors (14218450889636).

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

10112120112220 is a wasteful number, since it uses less digits than its factorization.

10112120112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36091 (or 36089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10112120112220 its reverse (2221102121101), we get a palindrome (12333222233321).

The spelling of 10112120112220 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 431 862 1724 2155 3017 4310 5573 6034 8620 11146 12068 15085 22292 27865 30071 30170 39011 55730 60142 60340 78022 111460 120284 150355 156044 195055 210497 300710 390110 420994 601420 780220 841988 1052485 2104970 2401963 4209940 4803926 9607852 12009815 12960601 16813741 24019630 25921202 33627482 48039260 51842404 64803005 67254964 84068705 90724207 129606010 167585683 168137410 181448414 259212020 335171366 336274820 362896828 453621035 670342732 837928415 907242070 1173099781 1675856830 1814484140 2346199562 3351713660 4692399124 5865498905 11730997810 23461995620 72229429373 144458858746 288917717492 361147146865 505606005611 722294293730 1011212011222 1444588587460 2022424022444 2528030028055 5056060056110 10112120112220