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1323011130 = 235797107607
BaseRepresentation
bin100111011011011…
…1000110000111010
310102012110221002020
41032312320300322
510202142324010
6335140415310
744533260210
oct11666706072
93365427066
101323011130
11619894931
1230b0a7536
13181133b2c
14c79d0cb0
157b238470
hex4edb8c3a

1323011130 has 128 divisors (see below), whose sum is σ = 3706601472. Its totient is φ = 295999488.

The previous prime is 1323011093. The next prime is 1323011141. The reversal of 1323011130 is 311103231.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 2179287 + ... + 2179893.

It is an arithmetic number, because the mean of its divisors is an integer number (28957824).

Almost surely, 21323011130 is an apocalyptic number.

1323011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736).

1323011130 is an abundant number, since it is smaller than the sum of its proper divisors (2383590342).

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

1323011130 is a wasteful number, since it uses less digits than its factorization.

1323011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1323011130 is about 36373.2199564460. The cubic root of 1323011130 is about 1097.7947914618.

Adding to 1323011130 its reverse (311103231), we get a palindrome (1634114361).

The spelling of 1323011130 in words is "one billion, three hundred twenty-three million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 107 194 210 214 291 321 485 535 582 607 642 679 749 970 1070 1214 1358 1455 1498 1605 1821 2037 2247 2910 3035 3210 3395 3642 3745 4074 4249 4494 6070 6790 7490 8498 9105 10185 10379 11235 12747 18210 20370 20758 21245 22470 25494 31137 42490 51895 58879 62274 63735 64949 72653 103790 117758 127470 129898 145306 155685 176637 194847 217959 294395 311370 324745 353274 363265 389694 412153 435918 454643 588790 649490 726530 824306 883185 909286 974235 1089795 1236459 1363929 1766370 1948470 2060765 2179590 2273215 2472918 2727858 4121530 4546430 6182295 6300053 6819645 12364590 12600106 13639290 18900159 31500265 37800318 44100371 63000530 88200742 94500795 132301113 189001590 220501855 264602226 441003710 661505565 1323011130