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2312310312120 = 2335157547722409
BaseRepresentation
bin100001101001100000011…
…011110100110010111000
322012001110212210112021010
4201221200123310302320
5300341102414441440
64530132150513520
7326026130233254
oct41514033646270
98161425715233
102312310312120
11811710986856
123141840658a0
1313a0858c6223
147dcb8909264
15402362a6580
hex21a606f4cb8

2312310312120 has 128 divisors (see below), whose sum is σ = 6982701422400. Its totient is φ = 612549390336.

The previous prime is 2312310312119. The next prime is 2312310312163. The reversal of 2312310312120 is 212130132132.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103175476 + ... + 103197884.

Almost surely, 22312310312120 is an apocalyptic number.

2312310312120 is a gapful number since it is divisible by the number (20) 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 2312310312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491350711200).

2312310312120 is an abundant number, since it is smaller than the sum of its proper divisors (4670391110280).

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

2312310312120 is a wasteful number, since it uses less digits than its factorization.

2312310312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28057 (or 28053 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2312310312120 its reverse (212130132132), we get a palindrome (2524440444252).

The spelling of 2312310312120 in words is "two trillion, three hundred twelve billion, three hundred ten million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 5477 6280 9420 10954 16431 18840 21908 22409 27385 32862 43816 44818 54770 65724 67227 82155 89636 109540 112045 131448 134454 164310 179272 219080 224090 268908 328620 336135 448180 537816 657240 672270 859889 896360 1344540 1719778 2579667 2689080 3439556 3518213 4299445 5159334 6879112 7036426 8598890 10318668 10554639 12898335 14072852 17197780 17591065 20637336 21109278 25796670 28145704 34395560 35182130 42218556 51593340 52773195 70364260 84437112 103186680 105546390 122734093 140728520 211092780 245468186 368202279 422185560 490936372 613670465 736404558 981872744 1227340930 1472809116 1841011395 2454681860 2945618232 3682022790 4909363720 7364045580 14728091160 19269252601 38538505202 57807757803 77077010404 96346263005 115615515606 154154020808 192692526010 231231031212 289038789015 385385052020 462462062424 578077578030 770770104040 1156155156060 2312310312120