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12323011000 = 2353173472089
BaseRepresentation
bin10110111101000001…
…00011100110111000
31011210210220211010211
423132200203212320
5200214142323000
65354444520504
7614242602526
oct133640434670
934723824124
1012323011000
115254022613
12247ab50134
13121505b3b1
1484c8a1316
154c1cc77ba
hex2de8239b8

12323011000 has 128 divisors (see below), whose sum is σ = 30634718400. Its totient is φ = 4623667200.

The previous prime is 12323010991. The next prime is 12323011009. The reversal of 12323011000 is 11032321.

12323011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12323010991) and next prime (12323011009).

It is a super-2 number, since 2×123230110002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323011009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5897956 + ... + 5900044.

Almost surely, 212323011000 is an apocalyptic number.

12323011000 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 12323011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317359200).

12323011000 is an abundant number, since it is smaller than the sum of its proper divisors (18311707400).

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

12323011000 is a wasteful number, since it uses less digits than its factorization.

12323011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12323011000 its reverse (11032321), we get a palindrome (12334043321).

The spelling of 12323011000 in words is "twelve billion, three hundred twenty-three million, eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 347 425 500 680 694 850 1000 1388 1700 1735 2089 2125 2776 3400 3470 4178 4250 5899 6940 8356 8500 8675 10445 11798 13880 16712 17000 17350 20890 23596 29495 34700 35513 41780 43375 47192 52225 58990 69400 71026 83560 86750 104450 117980 142052 147475 173500 177565 208900 235960 261125 284104 294950 347000 355130 417800 522250 589900 710260 724883 737375 887825 1044500 1179800 1420520 1449766 1474750 1775650 2089000 2899532 2949500 3551300 3624415 4439125 5799064 5899000 7102600 7248830 8878250 12323011 14497660 17756500 18122075 24646022 28995320 35513000 36244150 49292044 61615055 72488300 90610375 98584088 123230110 144976600 181220750 246460220 308075275 362441500 492920440 616150550 724883000 1232301100 1540376375 2464602200 3080752750 6161505500 12323011000