Search a number
-
+
1323023100 = 2235275311887
BaseRepresentation
bin100111011011011…
…1011101011111100
310102012111112111120
41032312323223330
510202143214400
6335140550540
744533340130
oct11666735374
93365445446
101323023100
116198a2923
1230b0b2450
13181139409
14c79d53c0
157b23bca0
hex4edbbafc

1323023100 has 144 divisors (see below), whose sum is σ = 4457714688. Its totient is φ = 296674560.

The previous prime is 1323023081. The next prime is 1323023101. The reversal of 1323023100 is 13203231.

It is a super-2 number, since 2×13230231002 = 3500780246267220000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1323023100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323023101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105357 + ... + 117243.

It is an arithmetic number, because the mean of its divisors is an integer number (30956352).

Almost surely, 21323023100 is an apocalyptic number.

1323023100 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 1323023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228857344).

1323023100 is an abundant number, since it is smaller than the sum of its proper divisors (3134691588).

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

1323023100 is a wasteful number, since it uses less digits than its factorization.

1323023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1323023100 is about 36373.3845002084. The cubic root of 1323023100 is about 1097.7981022336.

Adding to 1323023100 its reverse (13203231), we get a palindrome (1336226331).

The spelling of 1323023100 in words is "one billion, three hundred twenty-three million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 53 60 70 75 84 100 105 106 140 150 159 175 210 212 265 300 318 350 371 420 525 530 636 700 742 795 1050 1060 1113 1325 1484 1590 1855 2100 2226 2650 3180 3710 3975 4452 5300 5565 7420 7950 9275 11130 11887 15900 18550 22260 23774 27825 35661 37100 47548 55650 59435 71322 83209 111300 118870 142644 166418 178305 237740 249627 297175 332836 356610 416045 499254 594350 630011 713220 832090 891525 998508 1188700 1248135 1260022 1664180 1783050 1890033 2080225 2496270 2520044 3150055 3566100 3780066 4160450 4410077 4992540 6240675 6300110 7560132 8320900 8820154 9450165 12481350 12600220 13230231 15750275 17640308 18900330 22050385 24962700 26460462 31500550 37800660 44100770 47250825 52920924 63001100 66151155 88201540 94501650 110251925 132302310 189003300 220503850 264604620 330755775 441007700 661511550 1323023100