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1130221300 = 225213266877
BaseRepresentation
bin100001101011101…
…1100111011110100
32220202201012011011
41003113130323310
54303314040200
6304052322004
740002502555
oct10327347364
92822635134
101130221300
1152aa86a9a
12276613304
13150202600
14aa16832c
15693555ba
hex435dcef4

1130221300 has 54 divisors (see below), whose sum is σ = 2655792258. Its totient is φ = 417306240.

The previous prime is 1130221297. The next prime is 1130221303. The reversal of 1130221300 is 31220311.

It is an interprime number because it is at equal distance from previous prime (1130221297) and next prime (1130221303).

It can be written as a sum of positive squares in 9 ways, for example, as 1021185936 + 109035364 = 31956^2 + 10442^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130221303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16539 + ... + 50338.

Almost surely, 21130221300 is an apocalyptic number.

1130221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130221300 is an abundant number, since it is smaller than the sum of its proper divisors (1525570958).

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

1130221300 is a wasteful number, since it uses less digits than its factorization.

1130221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66917 (or 66897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1130221300 is about 33618.7641057788. The cubic root of 1130221300 is about 1041.6484274851.

Adding to 1130221300 its reverse (31220311), we get a palindrome (1161441611).

The spelling of 1130221300 in words is "one billion, one hundred thirty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 66877 133754 267508 334385 668770 869401 1337540 1671925 1738802 3343850 3477604 4347005 6687700 8694010 11302213 17388020 21735025 22604426 43470050 45208852 56511065 86940100 113022130 226044260 282555325 565110650 1130221300