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1125103650 = 2352112321289
BaseRepresentation
bin100001100001111…
…1011100000100010
32220102002012001120
41003003323200202
54301011304100
6303350513110
736611136366
oct10303734042
92812065046
101125103650
11528101030
12274965796
1314c130108
14a95d52a6
1568b940a0
hex430fb822

1125103650 has 144 divisors (see below), whose sum is σ = 3184483680. Its totient is φ = 260691200.

The previous prime is 1125103631. The next prime is 1125103657. The reversal of 1125103650 is 563015211.

It is a self number, because there is not a number n which added to its sum of digits gives 1125103650.

It is not an unprimeable number, because it can be changed into a prime (1125103657) 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 71 ways as a sum of consecutive naturals, for example, 872206 + ... + 873494.

It is an arithmetic number, because the mean of its divisors is an integer number (22114470).

Almost surely, 21125103650 is an apocalyptic number.

1125103650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125103650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592241840).

1125103650 is an abundant number, since it is smaller than the sum of its proper divisors (2059380030).

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

1125103650 is a wasteful number, since it uses less digits than its factorization.

1125103650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1125103650 is about 33542.5647498816. The cubic root of 1125103650 is about 1040.0738513878.

Adding to 1125103650 its reverse (563015211), we get a palindrome (1688118861).

The spelling of 1125103650 in words is "one billion, one hundred twenty-five million, one hundred three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 138 150 165 230 253 275 330 345 506 529 550 575 690 759 825 1058 1150 1265 1289 1518 1587 1650 1725 2530 2578 2645 3174 3450 3795 3867 5290 5819 6325 6445 7590 7734 7935 11638 12650 12890 13225 14179 15870 17457 18975 19335 26450 28358 29095 29647 32225 34914 37950 38670 39675 42537 58190 59294 64450 70895 79350 85074 87285 88941 96675 141790 145475 148235 174570 177882 193350 212685 290950 296470 326117 354475 425370 436425 444705 652234 681881 708950 741175 872850 889410 978351 1063425 1363762 1482350 1630585 1956702 2045643 2126850 2223525 3261170 3409405 4091286 4447050 4891755 6818810 7500691 8152925 9783510 10228215 15001382 16305850 17047025 20456430 22502073 24458775 34094050 37503455 45004146 48917550 51141075 75006910 102282150 112510365 187517275 225020730 375034550 562551825 1125103650