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12323120100 = 22352375320947
BaseRepresentation
bin10110111101000001…
…11110001111100100
31011210211010100210120
423132200332033210
5200214204320400
65354451121540
7614243535564
oct133640761744
934724110716
1012323120100
115254097585
12247aba32b0
131215098c55
1484c8ccda4
154c1ce9ca0
hex2de83e3e4

12323120100 has 144 divisors (see below), whose sum is σ = 37311236928. Its totient is φ = 3136872960.

The previous prime is 12323120099. The next prime is 12323120101. The reversal of 12323120100 is 102132321.

It is an interprime number because it is at equal distance from previous prime (12323120099) and next prime (12323120101).

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 12323120100.

It is not an unprimeable number, because it can be changed into a prime (12323120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577827 + ... + 598773.

It is an arithmetic number, because the mean of its divisors is an integer number (259105812).

Almost surely, 212323120100 is an apocalyptic number.

12323120100 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 12323120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655618464).

12323120100 is an abundant number, since it is smaller than the sum of its proper divisors (24988116828).

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

12323120100 is a wasteful number, since it uses less digits than its factorization.

12323120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21054 (or 21047 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12323120100 its reverse (102132321), we get a palindrome (12425252421).

The spelling of 12323120100 in words is "twelve billion, three hundred twenty-three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 53 60 74 75 100 106 111 148 150 159 185 212 222 265 300 318 370 444 530 555 636 740 795 925 1060 1110 1325 1590 1850 1961 2220 2650 2775 3180 3700 3922 3975 5300 5550 5883 7844 7950 9805 11100 11766 15900 19610 20947 23532 29415 39220 41894 49025 58830 62841 83788 98050 104735 117660 125682 147075 196100 209470 251364 294150 314205 418940 523675 588300 628410 775039 1047350 1110191 1256820 1550078 1571025 2094700 2220382 2325117 3100156 3142050 3330573 3875195 4440764 4650234 5550955 6284100 6661146 7750390 9300468 11101910 11625585 13322292 15500780 16652865 19375975 22203820 23251170 27754775 33305730 38751950 41077067 46502340 55509550 58127925 66611460 77503900 82154134 83264325 111019100 116255850 123231201 164308268 166528650 205385335 232511700 246462402 333057300 410770670 492924804 616156005 821541340 1026926675 1232312010 2053853350 2464624020 3080780025 4107706700 6161560050 12323120100