Search a number
-
+
12313011013320 = 2335878311682617
BaseRepresentation
bin1011001100101101100010…
…1001011100011011001000
31121121010000220112002102210
42303023120221130123020
53103214021304411240
642104304050225120
72410404614512323
oct263133051343310
947533026462383
1012313011013320
113a17a11798a76
12146a4165851a0
136b415bc78034
14307d4ab157ba
151654529a9780
hexb32d8a5c6c8

12313011013320 has 64 divisors (see below), whose sum is σ = 36943241944320. Its totient is φ = 3283095478784.

The previous prime is 12313011013297. The next prime is 12313011013333. The reversal of 12313011013320 is 2331011031321.

It is a happy number.

It is a super-2 number, since 2×123130110133202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4787349 + ... + 6895268.

It is an arithmetic number, because the mean of its divisors is an integer number (577238155380).

Almost surely, 212313011013320 is an apocalyptic number.

12313011013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313011013320 is an abundant number, since it is smaller than the sum of its proper divisors (24630230931000).

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

12313011013320 is a wasteful number, since it uses less digits than its factorization.

12313011013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11691414 (or 11691410 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12313011013320 its reverse (2331011031321), we get a palindrome (14644022044641).

The spelling of 12313011013320 in words is "twelve trillion, three hundred thirteen billion, eleven million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8783 17566 26349 35132 43915 52698 70264 87830 105396 131745 175660 210792 263490 351320 526980 1053960 11682617 23365234 35047851 46730468 58413085 70095702 93460936 116826170 140191404 175239255 233652340 280382808 350478510 467304680 700957020 1401914040 102608425111 205216850222 307825275333 410433700444 513042125555 615650550666 820867400888 1026084251110 1231301101332 1539126376665 2052168502220 2462602202664 3078252753330 4104337004440 6156505506660 12313011013320