Search a number
-
+
11120110201020 = 22354793803101741
BaseRepresentation
bin1010000111010001101000…
…1101111110100010111100
31110101001221121012002012010
42201310122031332202330
52424142441202413040
635352301430011220
72225254461065442
oct241643215764274
943331847162163
1011120110201020
1135a8015342757
1212b719a4a6b10
136288113b4112
142a63053a6b92
151443d617be80
hexa1d1a37e8bc

11120110201020 has 96 divisors (see below), whose sum is σ = 31209822443520. Its totient is φ = 2958364791040.

The previous prime is 11120110201009. The next prime is 11120110201141. The reversal of 11120110201020 is 2010201102111.

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 = 11120110200987 and 11120110201005.

It is a congruent number.

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, 109247350 + ... + 109349090.

It is an arithmetic number, because the mean of its divisors is an integer number (325102317120).

Almost surely, 211120110201020 is an apocalyptic number.

11120110201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120110201020 is an abundant number, since it is smaller than the sum of its proper divisors (20089712242500).

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

11120110201020 is a wasteful number, since it uses less digits than its factorization.

11120110201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106035 (or 106033 counting only the distinct ones).

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

Adding to 11120110201020 its reverse (2010201102111), we get a palindrome (13130311303131).

The spelling of 11120110201020 in words is "eleven trillion, one hundred twenty billion, one hundred ten million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 479 958 1437 1916 2395 2874 3803 4790 5748 7185 7606 9580 11409 14370 15212 19015 22818 28740 38030 45636 57045 76060 101741 114090 203482 228180 305223 406964 508705 610446 1017410 1220892 1526115 1821637 2034820 3052230 3643274 5464911 6104460 7286548 9108185 10929822 18216370 21859644 27324555 36432740 48733939 54649110 97467878 109298220 146201817 194935756 243669695 292403634 386921023 487339390 584807268 731009085 773842046 974678780 1160763069 1462018170 1547684092 1934605115 2321526138 2924036340 3869210230 4643052276 5803815345 7738420460 11607630690 23215261380 185335170017 370670340034 556005510051 741340680068 926675850085 1112011020102 1853351700170 2224022040204 2780027550255 3706703400340 5560055100510 11120110201020