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1020110112120 = 2335111017651591
BaseRepresentation
bin11101101100000110100…
…11010000010101111000
310121112002020010222011110
432312003103100111320
5113203141142041440
62100344312000320
7133462164612351
oct16660323202570
93545066128143
101020110112120
11363698622870
121458549900a0
1375271717878
14375331d2d28
151b806ed3080
hexed834d0578

1020110112120 has 128 divisors (see below), whose sum is σ = 3371597498880. Its totient is φ = 244850880000.

The previous prime is 1020110112089. The next prime is 1020110112139. The reversal of 1020110112120 is 212110110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020110112096 and 1020110112105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3692476 + ... + 3959115.

It is an arithmetic number, because the mean of its divisors is an integer number (26340605460).

Almost surely, 21020110112120 is an apocalyptic number.

1020110112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110112120 is an abundant number, since it is smaller than the sum of its proper divisors (2351487386760).

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

1020110112120 is a wasteful number, since it uses less digits than its factorization.

1020110112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651717 (or 7651713 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020110112120 its reverse (212110110201), we get a palindrome (1232220222321).

The spelling of 1020110112120 in words is "one trillion, twenty billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 7651591 15303182 22954773 30606364 38257955 45909546 61212728 76515910 84167501 91819092 114773865 153031820 168335002 183638184 229547730 252502503 306063640 336670004 420837505 459095460 505005006 673340008 772810691 841675010 918190920 1010010012 1262512515 1545621382 1683350020 2020020024 2318432073 2525025030 3091242764 3366700040 3864053455 4636864146 5050050060 6182485528 7728106910 8500917601 9273728292 10100100120 11592160365 15456213820 17001835202 18547456584 23184320730 25502752803 30912427640 34003670404 42504588005 46368641460 51005505606 68007340808 85009176010 92737282920 102011011212 127513764015 170018352020 204022022424 255027528030 340036704040 510055056060 1020110112120