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1130052220 = 2251117535701
BaseRepresentation
bin100001101011011…
…0011101001111100
32220202101121012221
41003112303221330
54303243132340
6304044535124
740001166613
oct10326635174
92822347187
101130052220
1152a980a60
122765514a4
1315017366b
14aa12287a
156932044a
hex435b3a7c

1130052220 has 96 divisors (see below), whose sum is σ = 2793341376. Its totient is φ = 379392000.

The previous prime is 1130052199. The next prime is 1130052233. The reversal of 1130052220 is 222500311.

It is a junction number, because it is equal to n+sod(n) for n = 1130052194 and 1130052203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195370 + ... + 201070.

It is an arithmetic number, because the mean of its divisors is an integer number (29097306).

Almost surely, 21130052220 is an apocalyptic number.

1130052220 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 1130052220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396670688).

1130052220 is an abundant number, since it is smaller than the sum of its proper divisors (1663289156).

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

1130052220 is a wasteful number, since it uses less digits than its factorization.

1130052220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1130052220 is about 33616.2493446250. The cubic root of 1130052220 is about 1041.5964816997.

Adding to 1130052220 its reverse (222500311), we get a palindrome (1352552531).

The spelling of 1130052220 in words is "one billion, one hundred thirty million, fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1166 1802 1870 2332 2915 3604 3740 4505 5701 5830 9010 9911 11402 11660 18020 19822 22804 28505 39644 49555 57010 62711 96917 99110 114020 125422 193834 198220 250844 302153 313555 387668 484585 604306 627110 969170 1066087 1208612 1254220 1510765 1938340 2132174 3021530 3323683 4264348 5136601 5330435 6043060 6647366 10273202 10660870 13294732 16618415 20546404 21321740 25683005 33236830 51366010 56502611 66473660 102732020 113005222 226010444 282513055 565026110 1130052220