Search a number
-
+
312142202241212 = 2272316012141141403
BaseRepresentation
bin100011011111001000100010…
…1000101011000000010111100
31111221012111120202122000102002
41012332101011011120002330
5311403114212233204322
63023512051553521432
7122514346520554160
oct10676210505300274
91457174522560362
10312142202241212
11905048456a8922
122b0132bbb73278
1310522b639c11a5
145711a98304ca0
1526148059b1c92
hex11be4451580bc

312142202241212 has 96 divisors (see below), whose sum is σ = 652143157392384. Its totient is φ = 127818358272000.

The previous prime is 312142202241209. The next prime is 312142202241251. The reversal of 312142202241212 is 212142202241213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2207394503 + ... + 2207535905.

It is an arithmetic number, because the mean of its divisors is an integer number (6793157889504).

Almost surely, 2312142202241212 is an apocalyptic number.

It is an amenable number.

312142202241212 is an abundant number, since it is smaller than the sum of its proper divisors (340000955151172).

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

312142202241212 is a wasteful number, since it uses less digits than its factorization.

312142202241212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145179 (or 145177 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 312142202241212 its reverse (212142202241213), we get a palindrome (524284404482425).

Subtracting from 312142202241212 its reverse (212142202241213), we obtain a palindrome (99999999999999).

The spelling of 312142202241212 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred two million, two hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1601 2141 3202 4282 6404 8564 11207 14987 22414 29974 36823 44828 49243 59948 73646 98486 141403 147292 196972 257761 282806 344701 515522 565612 689402 989821 1031044 1378804 1979642 3252269 3427741 3959284 6504538 6855482 13009076 13710964 22765883 23994187 45531766 47988374 78838043 91063532 95976748 157676086 226386203 302743823 315352172 452772406 551866301 605487646 905544812 1103732602 1210975292 1584703421 2119206761 2207465204 3169406842 4238413522 5206882669 6338813684 6963107929 8476827044 10413765338 13926215858 20827530676 27852431716 36448178683 48741755503 72896357366 97483511006 145792714732 194967022012 484692860623 969385721246 1938771442492 3392850024361 6785700048722 11147935794329 13571400097444 22295871588658 44591743177316 78035550560303 156071101120606 312142202241212