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12320000100 = 2233524562963
BaseRepresentation
bin10110111100101010…
…00100100001100100
31011210121020211222000
423132111010201210
5200212410000400
65354300205300
7614205162432
oct133625044144
934717224860
1012320000100
115252356471
122479b39830
131214545ab5
1484c319d52
154c18d0600
hex2de544864

12320000100 has 72 divisors (see below), whose sum is σ = 39606527520. Its totient is φ = 3285332640.

The previous prime is 12320000093. The next prime is 12320000107. The reversal of 12320000100 is 100002321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12320000093) and next prime (12320000107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12320000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2278782 + ... + 2284181.

It is an arithmetic number, because the mean of its divisors is an integer number (550090660).

Almost surely, 212320000100 is an apocalyptic number.

12320000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320000100 is an abundant number, since it is smaller than the sum of its proper divisors (27286527420).

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

12320000100 is a wasteful number, since it uses less digits than its factorization.

12320000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562986 (or 4562973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12320000100 its reverse (100002321), we get a palindrome (12420002421).

It can be divided in two parts, 12320000 and 100, that added together give a square (12320100 = 35102).

The spelling of 12320000100 in words is "twelve billion, three hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4562963 9125926 13688889 18251852 22814815 27377778 41066667 45629630 54755556 68444445 82133334 91259260 114074075 123200001 136888890 164266668 205333335 228148150 246400002 273777780 342222225 410666670 456296300 492800004 616000005 684444450 821333340 1026666675 1232000010 1368888900 2053333350 2464000020 3080000025 4106666700 6160000050 12320000100