Search a number
-
+
110320313031020 = 22541436151291257
BaseRepresentation
bin11001000101010111110011…
…000100011101100101101100
3112110121112000022000200221102
4121011113303010131211230
5103424442000113443040
61030344241355422232
732144244125411051
oct3105276304354554
9473545008020842
10110320313031020
1132173644730334
1210458995754978
1349732125b8b41
141d35762b71028
15cb4a40372515
hex6455f311d96c

110320313031020 has 96 divisors (see below), whose sum is σ = 246823381417536. Its totient is φ = 41361268838400.

The previous prime is 110320313031017. The next prime is 110320313031073. The reversal of 110320313031020 is 20130313023011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110320313030983 and 110320313031001.

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, 23494769 + ... + 27796488.

It is an arithmetic number, because the mean of its divisors is an integer number (2571076889766).

Almost surely, 2110320313031020 is an apocalyptic number.

110320313031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110320313031020 is an abundant number, since it is smaller than the sum of its proper divisors (136503068386516).

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

110320313031020 is a wasteful number, since it uses less digits than its factorization.

110320313031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51291411 (or 51291409 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 110320313031020 its reverse (20130313023011), we get a palindrome (130450626054031).

The spelling of 110320313031020 in words is "one hundred ten trillion, three hundred twenty billion, three hundred thirteen million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 43 61 82 86 122 164 172 205 215 244 305 410 430 610 820 860 1220 1763 2501 2623 3526 5002 5246 7052 8815 10004 10492 12505 13115 17630 25010 26230 35260 50020 52460 107543 215086 430172 537715 1075430 2150860 51291257 102582514 205165028 256456285 512912570 1025825140 2102941537 2205524051 3128766677 4205883074 4411048102 6257533354 8411766148 8822096204 10514707685 11027620255 12515066708 15643833385 21029415370 22055240510 31287666770 42058830740 44110481020 62575333540 90426486091 128279433757 134536967111 180852972182 256558867514 269073934222 361705944364 452132430455 513117735028 538147868444 641397168785 672684835555 904264860910 1282794337570 1345369671110 1808529721820 2565588675140 2690739342220 5516015651551 11032031303102 22064062606204 27580078257755 55160156515510 110320313031020