Search a number
-
+
312333321020 = 225731103698701
BaseRepresentation
bin1001000101110001000…
…01000100001100111100
31002212012001020122120112
410202320201010030330
520104124312233040
6355252311005152
731364624265440
oct4427041041474
91085161218515
10312333321020
11110507020996
12506479697b8
13235b70599b6
141118d128820
1581d0321365
hex48b884433c

312333321020 has 96 divisors (see below), whose sum is σ = 781294166016. Its totient is φ = 102625056000.

The previous prime is 312333320983. The next prime is 312333321029. The reversal of 312333321020 is 20123333213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312333321029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97670 + ... + 796370.

It is an arithmetic number, because the mean of its divisors is an integer number (8138480896).

Almost surely, 2312333321020 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 312333321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390647083008).

312333321020 is an abundant number, since it is smaller than the sum of its proper divisors (468960844996).

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

312333321020 is a wasteful number, since it uses less digits than its factorization.

312333321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698851 (or 698849 counting only the distinct ones).

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

Adding to 312333321020 its reverse (20123333213), we get a palindrome (332456654233).

The spelling of 312333321020 in words is "three hundred twelve billion, three hundred thirty-three million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 103 124 140 155 206 217 310 412 434 515 620 721 868 1030 1085 1442 2060 2170 2884 3193 3605 4340 6386 7210 12772 14420 15965 22351 31930 44702 63860 89404 111755 223510 447020 698701 1397402 2794804 3493505 4890907 6987010 9781814 13974020 19563628 21659731 24454535 43319462 48909070 71966203 86638924 97818140 108298655 143932406 151618117 216597310 287864812 303236234 359831015 433194620 503763421 606472468 719662030 758090585 1007526842 1439324060 1516181170 2015053684 2230952293 2518817105 3032362340 4461904586 5037634210 8923809172 10075268420 11154761465 15616666051 22309522930 31233332102 44619045860 62466664204 78083330255 156166660510 312333321020