Search a number
-
+
110221121010120 = 23356720389672377
BaseRepresentation
bin11001000011111011011010…
…110000111011100111001000
3112110021000222102201221122120
4121003323122300323213020
5103421330323434310440
61030230514534251240
732134133062220541
oct3103733260734710
9473230872657576
10110221121010120
113213557339595a
12104417124b6b20
134966a652c4053
141d30a331554c8
15cb2187038dd0
hex643edac3b9c8

110221121010120 has 128 divisors (see below), whose sum is σ = 335615596041600. Its totient is φ = 28952144787456.

The previous prime is 110221121010059. The next prime is 110221121010131. The reversal of 110221121010120 is 21010121122011.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110221121010120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163591372 + ... + 164263748.

It is an arithmetic number, because the mean of its divisors is an integer number (2621996844075).

Almost surely, 2110221121010120 is an apocalyptic number.

110221121010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221121010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167807798020800).

110221121010120 is an abundant number, since it is smaller than the sum of its proper divisors (225394475031480).

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

110221121010120 is a wasteful number, since it uses less digits than its factorization.

110221121010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692847 (or 692843 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110221121010120 its reverse (21010121122011), we get a palindrome (131231242132131).

The spelling of 110221121010120 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 20389 40778 61167 81556 101945 122334 163112 203890 244668 305835 407780 489336 611670 672377 815560 1223340 1344754 1366063 2017131 2446680 2689508 2732126 3361885 4034262 4098189 5379016 5464252 6723770 6830315 8068524 8196378 10085655 10928504 13447540 13660630 16137048 16392756 20171310 20490945 26895080 27321260 32785512 40342620 40981890 45049259 54642520 80685240 81963780 90098518 135147777 163927560 180197036 225246295 270295554 360394072 450492590 540591108 675738885 900985180 1081182216 1351477770 1801970360 2702955540 5405911080 13709094653 27418189306 41127283959 54836378612 68545473265 82254567918 109672757224 137090946530 164509135836 205636419795 274181893060 329018271672 411272839590 548363786120 822545679180 918509341751 1645091358360 1837018683502 2755528025253 3674037367004 4592546708755 5511056050506 7348074734008 9185093417510 11022112101012 13777640126265 18370186835020 22044224202024 27555280252530 36740373670040 55110560505060 110221121010120