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1122031300 = 2252132293769
BaseRepresentation
bin100001011100000…
…1101011011000100
32220012022002120211
41002320031123010
54244220000200
6303201005204
736543052165
oct10270153304
92805262524
101122031300
115263a27a5
12273923804
1314b5c5860
14a903576c
1568788aba
hex42e0d6c4

1122031300 has 72 divisors (see below), whose sum is σ = 2634249800. Its totient is φ = 412369920.

The previous prime is 1122031291. The next prime is 1122031319. The reversal of 1122031300 is 31302211.

It can be written as a sum of positive squares in 12 ways, for example, as 92006464 + 1030024836 = 9592^2 + 32094^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 295816 + ... + 299584.

Almost surely, 21122031300 is an apocalyptic number.

1122031300 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 1122031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317124900).

1122031300 is an abundant number, since it is smaller than the sum of its proper divisors (1512218500).

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

1122031300 is a wasteful number, since it uses less digits than its factorization.

1122031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4018 counting only the distinct ones).

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

The square root of 1122031300 is about 33496.7356618522. The cubic root of 1122031300 is about 1039.1262693672.

Adding to 1122031300 its reverse (31302211), we get a palindrome (1153333511).

The spelling of 1122031300 in words is "one billion, one hundred twenty-two million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 229 260 325 458 650 916 1145 1300 2290 2977 3769 4580 5725 5954 7538 11450 11908 14885 15076 18845 22900 29770 37690 48997 59540 74425 75380 94225 97994 148850 188450 195988 244985 297700 376900 489970 863101 979940 1224925 1726202 2449850 3452404 4315505 4899700 8631010 11220313 17262020 21577525 22440626 43155050 44881252 56101565 86310100 112203130 224406260 280507825 561015650 1122031300