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1304223100 = 2252101139929
BaseRepresentation
bin100110110111100…
…1101110101111100
310100220010101202021
41031233031311330
510132340114400
6333230005524
744214466465
oct11557156574
93326111667
101304223100
1160a222134
123049468a4
1317a28625b
14c52ddd6c
157977671a
hex4dbcdd7c

1304223100 has 72 divisors (see below), whose sum is σ = 2881846800. Its totient is φ = 512256000.

The previous prime is 1304223077. The next prime is 1304223133. The reversal of 1304223100 is 13224031.

It is a happy number.

It is a super-2 number, since 2×13042231002 = 3401995789147220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1403436 + ... + 1404364.

It is an arithmetic number, because the mean of its divisors is an integer number (40025650).

Almost surely, 21304223100 is an apocalyptic number.

1304223100 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 1304223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440923400).

1304223100 is an abundant number, since it is smaller than the sum of its proper divisors (1577623700).

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

1304223100 is a wasteful number, since it uses less digits than its factorization.

1304223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1304223100 is about 36114.0291299655. The cubic root of 1304223100 is about 1092.5734162324.

Adding to 1304223100 its reverse (13224031), we get a palindrome (1317447131).

The spelling of 1304223100 in words is "one billion, three hundred four million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 139 202 278 404 505 556 695 929 1010 1390 1858 2020 2525 2780 3475 3716 4645 5050 6950 9290 10100 13900 14039 18580 23225 28078 46450 56156 70195 92900 93829 129131 140390 187658 258262 280780 350975 375316 469145 516524 645655 701950 938290 1291310 1403900 1876580 2345725 2582620 3228275 4691450 6456550 9382900 12913100 13042231 26084462 52168924 65211155 130422310 260844620 326055775 652111550 1304223100