Search a number
-
+
1095103020 = 2235115413067
BaseRepresentation
bin100000101000101…
…1111001000101100
32211022121222221010
41001101133020230
54220321244040
6300355505220
736065136114
oct10121371054
92738558833
101095103020
11512180120
122668b8210
13145b57a6b
14a5626044
1566219e80
hex4145f22c

1095103020 has 96 divisors (see below), whose sum is σ = 3352317696. Its totient is φ = 264902400.

The previous prime is 1095102997. The next prime is 1095103027. The reversal of 1095103020 is 203015901.

It is not an unprimeable number, because it can be changed into a prime (1095103027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 355527 + ... + 358593.

It is an arithmetic number, because the mean of its divisors is an integer number (34919976).

Almost surely, 21095103020 is an apocalyptic number.

1095103020 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 1095103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676158848).

1095103020 is an abundant number, since it is smaller than the sum of its proper divisors (2257214676).

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

1095103020 is a wasteful number, since it uses less digits than its factorization.

1095103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1095103020 is about 33092.3408056910. The cubic root of 1095103020 is about 1030.7460018042.

Adding to 1095103020 its reverse (203015901), we get a palindrome (1298118921).

The spelling of 1095103020 in words is "one billion, ninety-five million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 541 660 1082 1623 2164 2705 3067 3246 5410 5951 6134 6492 8115 9201 10820 11902 12268 15335 16230 17853 18402 23804 29755 30670 32460 33737 35706 36804 46005 59510 61340 67474 71412 89265 92010 101211 119020 134948 168685 178530 184020 202422 337370 357060 404844 506055 674740 1012110 1659247 2024220 3318494 4977741 6636988 8296235 9955482 16592470 18251717 19910964 24888705 33184940 36503434 49777410 54755151 73006868 91258585 99554820 109510302 182517170 219020604 273775755 365034340 547551510 1095103020