Search a number
-
+
312231301233312 = 25310172744294461
BaseRepresentation
bin100011011111110010000001…
…1110011000011101010100000
31111221112000120020002210001110
41012333210003303003222200
5311411044201103431222
63024021025110303320
7122523652466523426
oct10677440363035240
91457460506083043
10312231301233312
119053960776938a
122b028627057b40
131052b392c560a6
14571610b6a3116
152616cbcbb330c
hex11bf903cc3aa0

312231301233312 has 96 divisors (see below), whose sum is σ = 828860651708544. Its totient is φ = 102904889472000.

The previous prime is 312231301233259. The next prime is 312231301233323. The reversal of 312231301233312 is 213332103132213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 312231301233312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15098239 + ... + 29196222.

It is an arithmetic number, because the mean of its divisors is an integer number (8633965121964).

Almost surely, 2312231301233312 is an apocalyptic number.

312231301233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312231301233312 is an abundant number, since it is smaller than the sum of its proper divisors (516629350475232).

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

312231301233312 is a wasteful number, since it uses less digits than its factorization.

312231301233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44295302 (or 44295294 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 312231301233312 its reverse (213332103132213), we get a palindrome (525563404365525).

The spelling of 312231301233312 in words is "three hundred twelve trillion, two hundred thirty-one billion, three hundred one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 727 808 1212 1454 1616 2181 2424 2908 3232 4362 4848 5816 8724 9696 11632 17448 23264 34896 69792 73427 146854 220281 293708 440562 587416 881124 1174832 1762248 2349664 3524496 7048992 44294461 88588922 132883383 177177844 265766766 354355688 531533532 708711376 1063067064 1417422752 2126134128 4252268256 4473740561 8947481122 13421221683 17894962244 26842443366 32202073147 35789924488 53684886732 64404146294 71579848976 96606219441 107369773464 128808292588 143159697952 193212438882 214739546928 257616585176 386424877764 429479093856 515233170352 772849755528 1030466340704 1545699511056 3091399022112 3252409387847 6504818775694 9757228163541 13009637551388 19514456327082 26019275102776 39028912654164 52038550205552 78057825308328 104077100411104 156115650616656 312231301233312