Search a number
-
+
1130031100 = 2252112611531
BaseRepresentation
bin100001101011010…
…1110011111111100
32220202100112020201
41003112232133330
54303241443400
6304044253244
740001051212
oct10326563774
92822315221
101130031100
1152a967100
12276541224
13150166b73
14aa118cb2
156931906a
hex435ae7fc

1130031100 has 108 divisors (see below), whose sum is σ = 2741333224. Its totient is φ = 403920000.

The previous prime is 1130031083. The next prime is 1130031107. The reversal of 1130031100 is 11300311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130031107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 737335 + ... + 738865.

Almost surely, 21130031100 is an apocalyptic number.

1130031100 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 1130031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370666612).

1130031100 is an abundant number, since it is smaller than the sum of its proper divisors (1611302124).

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

1130031100 is a wasteful number, since it uses less digits than its factorization.

1130031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1130031100 is about 33615.9352093616. The cubic root of 1130031100 is about 1041.5899927208.

Adding to 1130031100 its reverse (11300311), we get a palindrome (1141331411).

1130031100 divided by its reverse (11300311) gives a square (100 = 102).

The spelling of 1130031100 in words is "one billion, one hundred thirty million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 121 122 220 242 244 275 305 484 550 605 610 671 1100 1210 1220 1342 1525 1531 2420 2684 3025 3050 3062 3355 6050 6100 6124 6710 7381 7655 12100 13420 14762 15310 16775 16841 29524 30620 33550 33682 36905 38275 67100 67364 73810 76550 84205 93391 147620 153100 168410 184525 185251 186782 336820 369050 370502 373564 421025 466955 738100 741004 842050 926255 933910 1027301 1684100 1852510 1867820 2054602 2334775 3705020 4109204 4631275 4669550 5136505 9262550 9339100 10273010 11300311 18525100 20546020 22600622 25682525 45201244 51365050 56501555 102730100 113003110 226006220 282507775 565015550 1130031100