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12323310323000 = 2353234631157227
BaseRepresentation
bin1011001101010011111010…
…0010001100010100111000
31121122002121200111020020212
42303110332202030110320
53103401114420314000
642113130044210252
72411221055300255
oct263247642142470
947562550436225
1012323310323000
113a21317455856
12147040b839988
136b5110981011
1430864690c42c
15165856c8bc35
hexb353e88c538

12323310323000 has 128 divisors (see below), whose sum is σ = 30155324958720. Its totient is φ = 4704818025600.

The previous prime is 12323310322963. The next prime is 12323310323003. The reversal of 12323310323000 is 32301332321.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323310323003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10070387 + ... + 11227613.

It is an arithmetic number, because the mean of its divisors is an integer number (235588476240).

Almost surely, 212323310323000 is an apocalyptic number.

12323310323000 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 12323310323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077662479360).

12323310323000 is an abundant number, since it is smaller than the sum of its proper divisors (17832014635720).

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

12323310323000 is a wasteful number, since it uses less digits than its factorization.

12323310323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157734 (or 1157720 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12323310323000 its reverse (32301332321), we get a palindrome (12355611655321).

The spelling of 12323310323000 in words is "twelve trillion, three hundred twenty-three billion, three hundred ten million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 463 500 575 920 926 1000 1150 1852 2300 2315 2875 3704 4600 4630 5750 9260 10649 11500 11575 18520 21298 23000 23150 42596 46300 53245 57875 85192 92600 106490 115750 212980 231500 266225 425960 463000 532450 1064900 1157227 1331125 2129800 2314454 2662250 4628908 5324500 5786135 9257816 10649000 11572270 23144540 26616221 28930675 46289080 53232442 57861350 106464884 115722700 133081105 144653375 212929768 231445400 266162210 289306750 532324420 535796101 578613500 665405525 1064648840 1071592202 1157227000 1330811050 2143184404 2661622100 2678980505 3327027625 4286368808 5323244200 5357961010 6654055250 10715922020 12323310323 13308110500 13394902525 21431844040 24646620646 26616221000 26789805050 49293241292 53579610100 61616551615 66974512625 98586482584 107159220200 123233103230 133949025250 246466206460 267898050500 308082758075 492932412920 535796101000 616165516150 1232331032300 1540413790375 2464662064600 3080827580750 6161655161500 12323310323000