Search a number
-
+
110001221002020 = 2235101109166532263
BaseRepresentation
bin11001000000101110100111…
…101100111110001100100100
3112102111000101020002010000010
4121000232213230332030210
5103404230000034031040
61025541510250050220
732112216542046315
oct3100564754761444
9472430336063003
10110001221002020
113206028a591077
1210406b82419970
13494c0bc23a16a
141d2413217a60c
15cab5b69eae80
hex640ba7b3e324

110001221002020 has 96 divisors (see below), whose sum is σ = 313906656349440. Its totient is φ = 28776774873600.

The previous prime is 110001221001961. The next prime is 110001221002033. The reversal of 110001221002020 is 20200122100011.

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 = 110001221001987 and 110001221002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82605592 + ... + 83926671.

It is an arithmetic number, because the mean of its divisors is an integer number (3269861003640).

Almost surely, 2110001221002020 is an apocalyptic number.

110001221002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001221002020 is an abundant number, since it is smaller than the sum of its proper divisors (203905435347420).

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

110001221002020 is a wasteful number, since it uses less digits than its factorization.

110001221002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166532485 (or 166532483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110001221002020 its reverse (20200122100011), we get a palindrome (130201343102031).

The spelling of 110001221002020 in words is "one hundred ten trillion, one billion, two hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 109 202 218 303 327 404 436 505 545 606 654 1010 1090 1212 1308 1515 1635 2020 2180 3030 3270 6060 6540 11009 22018 33027 44036 55045 66054 110090 132108 165135 220180 330270 660540 166532263 333064526 499596789 666129052 832661315 999193578 1665322630 1998387156 2497983945 3330645260 4995967890 9991935780 16819758563 18152016667 33639517126 36304033334 50459275689 54456050001 67279034252 72608066668 84098792815 90760083335 100918551378 108912100002 168197585630 181520166670 201837102756 217824200004 252296378445 272280250005 336395171260 363040333340 504592756890 544560500010 1009185513780 1089121000020 1833353683367 3666707366734 5500061050101 7333414733468 9166768416835 11000122100202 18333536833670 22000244200404 27500305250505 36667073667340 55000610501010 110001221002020