Search a number
-
+
313234422411000 = 23353671558380211
BaseRepresentation
bin100011100111000101001001…
…0011110101010111011111000
31112002001220210110120110102010
41013032022102132222323320
5312024013044114123000
63030105523534405520
7122656303664043036
oct10716122236527370
91462056713513363
10313234422411000
1190895a774a0272
122b16ab1a3608a0
13105a1b57a5311c
14574c8ac457556
152632e2d457d50
hex11ce2927aaef8

313234422411000 has 128 divisors (see below), whose sum is σ = 991877837333760. Its totient is φ = 82282475088000.

The previous prime is 313234422410929. The next prime is 313234422411083. The reversal of 313234422411000 is 114224432313.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 778989106 + ... + 779391105.

It is an arithmetic number, because the mean of its divisors is an integer number (7749045604170).

Almost surely, 2313234422411000 is an apocalyptic number.

313234422411000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313234422411000 is an abundant number, since it is smaller than the sum of its proper divisors (678643414922760).

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

313234422411000 is a wasteful number, since it uses less digits than its factorization.

313234422411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558380302 (or 1558380288 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 313234422411000 its reverse (114224432313), we get a palindrome (313348646843313).

The spelling of 313234422411000 in words is "three hundred thirteen trillion, two hundred thirty-four billion, four hundred twenty-two million, four hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1340 1500 1608 1675 2010 2680 3000 3350 4020 5025 6700 8040 8375 10050 13400 16750 20100 25125 33500 40200 50250 67000 100500 201000 1558380211 3116760422 4675140633 6233520844 7791901055 9350281266 12467041688 15583802110 18700562532 23375703165 31167604220 37401125064 38959505275 46751406330 62335208440 77919010550 93502812660 104411474137 116878515825 155838021100 187005625320 194797526375 208822948274 233757031650 311676042200 313234422411 389595052750 417645896548 467514063300 522057370685 584392579125 626468844822 779190105500 835291793096 935028126600 1044114741370 1168785158250 1252937689644 1558380211000 1566172112055 2088229482740 2337570316500 2505875379288 2610286853425 3132344224110 4176458965480 4675140633000 5220573706850 6264688448220 7830860560275 10441147413700 12529376896440 13051434267125 15661721120550 20882294827400 26102868534250 31323442241100 39154302801375 52205737068500 62646884482200 78308605602750 104411474137000 156617211205500 313234422411000