Search a number
-
+
1125403110 = 2325132233217
BaseRepresentation
bin100001100010100…
…0100100111100110
32220102122101211200
41003011010213212
54301100344420
6303401143330
736613524426
oct10305044746
92812571750
101125403110
11528296017
12274a8ab46
1314c206500
14a9672486
1568c02b90
hex431449e6

1125403110 has 144 divisors (see below), whose sum is σ = 3307228704. Its totient is φ = 264895488.

The previous prime is 1125403073. The next prime is 1125403129. The reversal of 1125403110 is 113045211.

1125403110 is a `hidden beast` number, since 1 + 12 + 540 + 3 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 348222 + ... + 351438.

It is an arithmetic number, because the mean of its divisors is an integer number (22966866).

Almost surely, 21125403110 is an apocalyptic number.

1125403110 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 1125403110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653614352).

1125403110 is an abundant number, since it is smaller than the sum of its proper divisors (2181825594).

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

1125403110 is a wasteful number, since it uses less digits than its factorization.

1125403110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1125403110 is about 33547.0283333710. The cubic root of 1125403110 is about 1040.1661192977.

Adding to 1125403110 its reverse (113045211), we get a palindrome (1238448321).

The spelling of 1125403110 in words is "one billion, one hundred twenty-five million, four hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 169 195 207 230 234 299 338 345 390 414 507 585 598 690 845 897 1014 1035 1170 1495 1521 1690 1794 2070 2535 2691 2990 3042 3217 3887 4485 5070 5382 6434 7605 7774 8970 9651 11661 13455 15210 16085 19302 19435 23322 26910 28953 32170 34983 38870 41821 48255 57906 58305 69966 73991 83642 96510 116610 125463 144765 147982 174915 209105 221973 250926 289530 349830 369955 376389 418210 443946 543673 627315 665919 739910 752778 961883 1087346 1109865 1254630 1331838 1631019 1881945 1923766 2219730 2718365 2885649 3262038 3329595 3763890 4809415 4893057 5436730 5771298 6659190 8155095 8656947 9618830 9786114 12504479 14428245 16310190 17313894 24465285 25008958 28856490 37513437 43284735 48930570 62522395 75026874 86569470 112540311 125044790 187567185 225080622 375134370 562701555 1125403110