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1130100220 = 225417611811
BaseRepresentation
bin100001101011011…
…1111010111111100
32220202111001001201
41003112333113330
54303301201340
6304045545244
740001456554
oct10326772774
92822431051
101130100220
1152aa04027
12276575224
1315018c472
14aa136164
156932e79a
hex435bf5fc

1130100220 has 48 divisors (see below), whose sum is σ = 2435632416. Its totient is φ = 440192000.

The previous prime is 1130100203. The next prime is 1130100227. The reversal of 1130100220 is 220010311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130100197 and 1130100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130100227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623115 + ... + 624925.

It is an arithmetic number, because the mean of its divisors is an integer number (50742342).

Almost surely, 21130100220 is an apocalyptic number.

1130100220 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 1130100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217816208).

1130100220 is an abundant number, since it is smaller than the sum of its proper divisors (1305532196).

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

1130100220 is a wasteful number, since it uses less digits than its factorization.

1130100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1130100220 is about 33616.9632774883. The cubic root of 1130100220 is about 1041.6112290781.

Adding to 1130100220 its reverse (220010311), we get a palindrome (1350110531).

The spelling of 1130100220 in words is "one billion, one hundred thirty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 761 820 1522 1811 3044 3622 3805 7244 7610 9055 15220 18110 31201 36220 62402 74251 124804 148502 156005 297004 312010 371255 624020 742510 1378171 1485020 2756342 5512684 6890855 13781710 27563420 56505011 113010022 226020044 282525055 565050110 1130100220