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312300230031320 = 235435411812118521
BaseRepresentation
bin100011100000010010001000…
…0010001100011011111011000
31111221202121110222210112001012
41013000210100101203133120
5311413211332342000240
63024112424533513052
7122531642555611256
oct10700442021433730
91457677428715035
10312300230031320
1190565869225553
122b039a631a2788
1310534a294938bb
1457195a9d155d6
1526189a422ab65
hex11c09104637d8

312300230031320 has 128 divisors (see below), whose sum is σ = 720424507682880. Its totient is φ = 121776141312000.

The previous prime is 312300230031289. The next prime is 312300230031323. The reversal of 312300230031320 is 23130032003213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312300230031323) 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 31 ways as a sum of consecutive naturals, for example, 16861943660 + ... + 16861962180.

Almost surely, 2312300230031320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312300230031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360212253841440).

312300230031320 is an abundant number, since it is smaller than the sum of its proper divisors (408124277651560).

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

312300230031320 is a wasteful number, since it uses less digits than its factorization.

312300230031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37237 (or 37233 counting only the distinct ones).

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

Adding to 312300230031320 its reverse (23130032003213), we get a palindrome (335430262034533).

The spelling of 312300230031320 in words is "three hundred twelve trillion, three hundred billion, two hundred thirty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 541 860 1082 1720 2164 2705 4328 5410 10820 18121 18521 21640 23263 36242 37042 46526 72484 74084 90605 92605 93052 116315 144968 148168 181210 185210 186104 232630 362420 370420 465260 724840 740840 779203 796403 930520 1558406 1592806 3116812 3185612 3896015 3982015 6233624 6371224 7792030 7964030 9803461 10019861 15584060 15928060 19606922 20039722 31168120 31856120 39213844 40079444 49017305 50099305 78427688 80158888 98034610 100198610 196069220 200397220 335619041 392138440 400794440 421548823 430854023 671238082 843097646 861708046 1342476164 1678095205 1686195292 1723416092 2107744115 2154270115 2684952328 3356190410 3372390584 3446832184 4215488230 4308540230 6712380820 8430976460 8617080460 13424761640 14431618763 16861952920 17234160920 28863237526 57726475052 72158093815 115452950104 144316187630 181569901181 288632375260 363139802362 577264750520 726279604724 907849505905 1452559209448 1815699011810 3631398023620 7262796047240 7807505750783 15615011501566 31230023003132 39037528753915 62460046006264 78075057507830 156150115015660 312300230031320