Search a number
-
+
1120111020 = 2232575631579
BaseRepresentation
bin100001011000011…
…1000100110101100
32220001200112110100
41002300320212230
54243222023040
6303051511100
736520533540
oct10260704654
92801615410
101120111020
11525300a96
12273158490
1314b0a27b2
14a8a95a20
1568509b30
hex42c389ac

1120111020 has 144 divisors (see below), whose sum is σ = 3892412160. Its totient is φ = 255408768.

The previous prime is 1120111019. The next prime is 1120111033. The reversal of 1120111020 is 201110211.

It is a happy number.

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 = 1120110993 and 1120111011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708591 + ... + 710169.

It is an arithmetic number, because the mean of its divisors is an integer number (27030640).

Almost surely, 21120111020 is an apocalyptic number.

1120111020 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 1120111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946206080).

1120111020 is an abundant number, since it is smaller than the sum of its proper divisors (2772301140).

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

1120111020 is a wasteful number, since it uses less digits than its factorization.

1120111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1120111020 is about 33468.0596987635. The cubic root of 1120111020 is about 1038.5331329684.

Adding to 1120111020 its reverse (201110211), we get a palindrome (1321221231).

It can be divided in two parts, 1 and 120111020, that added together give a palindrome (120111021).

The spelling of 1120111020 in words is "one billion, one hundred twenty million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 563 630 1126 1260 1579 1689 2252 2815 3158 3378 3941 4737 5067 5630 6316 6756 7882 7895 8445 9474 10134 11053 11260 11823 14211 15764 15790 16890 18948 19705 20268 22106 23646 23685 25335 28422 31580 33159 33780 35469 39410 44212 47292 47370 50670 55265 56844 59115 66318 70938 71055 78820 94740 99477 101340 110530 118230 132636 141876 142110 165795 177345 198954 221060 236460 284220 331590 354690 397908 497385 663180 709380 888977 994770 1777954 1989540 2666931 3555908 4444885 5333862 6222839 8000793 8889770 10667724 12445678 13334655 16001586 17779540 18668517 24891356 26669310 31114195 32003172 37337034 40003965 53338620 56005551 62228390 74674068 80007930 93342585 112011102 124456780 160015860 186685170 224022204 280027755 373370340 560055510 1120111020