Search a number
-
+
110010022020 = 223657545269
BaseRepresentation
bin110011001110100011…
…0111011100010000100
3101111221210021011000000
41212131012323202010
53300300031201040
6122312104321300
710643102521113
oct1463506734204
9344853234000
10110010022020
1142722875878
12193a2173230
13a4b25c87b2
145478671c7a
152cdce27130
hex199d1bb884

110010022020 has 84 divisors (see below), whose sum is σ = 346373164620. Its totient is φ = 29336001984.

The previous prime is 110010021977. The next prime is 110010022027. The reversal of 110010022020 is 20220010011.

It can be written as a sum of positive squares in 2 ways, for example, as 72783406656 + 37226615364 = 269784^2 + 192942^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110010021993 and 110010022011.

It is not an unprimeable number, because it can be changed into a prime (110010022027) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3758055 + ... + 3787214.

It is an arithmetic number, because the mean of its divisors is an integer number (4123490055).

Almost surely, 2110010022020 is an apocalyptic number.

110010022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010022020 is an abundant number, since it is smaller than the sum of its proper divisors (236363142600).

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

110010022020 is an equidigital number, since it uses as much as digits as its factorization.

110010022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545296 (or 7545279 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110010022020 its reverse (20220010011), we get a palindrome (130230032031).

The spelling of 110010022020 in words is "one hundred ten billion, ten million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 7545269 15090538 22635807 30181076 37726345 45271614 67907421 75452690 90543228 113179035 135814842 150905380 203722263 226358070 271629684 339537105 407444526 452716140 611166789 679074210 814889052 1018611315 1222333578 1358148420 1833500367 2037222630 2444667156 3055833945 3667000734 4074445260 5500501101 6111667890 7334001468 9167501835 11001002202 12223335780 18335003670 22002004404 27502505505 36670007340 55005011010 110010022020