Search a number
-
+
103313130303312 = 24331699314073487
BaseRepresentation
bin10111011111011001110110…
…011011101010111101010000
3111112210122020200111100111000
4113133121312123222331100
5102020140242324201222
61003421221415222000
730522061452102456
oct2737316633527520
9445718220440430
10103313130303312
112aa11941763396
12b70693a377900
134585503b69c97
141b7254ca149d6
15be26292b29ac
hex5df6766eaf50

103313130303312 has 80 divisors (see below), whose sum is σ = 296564420289280. Its totient is φ = 34435681072128.

The previous prime is 103313130303293. The next prime is 103313130303407. The reversal of 103313130303312 is 213303031313301.

103313130303312 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 313 + 0 + 30 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304233 + ... + 14377719.

It is an arithmetic number, because the mean of its divisors is an integer number (3707055253616).

Almost surely, 2103313130303312 is an apocalyptic number.

103313130303312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103313130303312 is an abundant number, since it is smaller than the sum of its proper divisors (193251289985968).

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

103313130303312 is a wasteful number, since it uses less digits than its factorization.

103313130303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14090497 (or 14090485 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 103313130303312 its reverse (213303031313301), we get a palindrome (316616161616613).

The spelling of 103313130303312 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 16993 33986 50979 67972 101958 135944 152937 203916 271888 305874 407832 458811 611748 815664 917622 1223496 1835244 2446992 3670488 7340976 14073487 28146974 42220461 56293948 84440922 112587896 126661383 168881844 225175792 253322766 337763688 379984149 506645532 675527376 759968298 1013291064 1519936596 2026582128 3039873192 6079746384 239150764591 478301529182 717452293773 956603058364 1434904587546 1913206116728 2152356881319 2869809175092 3826412233456 4304713762638 5739618350184 6457070643957 8609427525276 11479236700368 12914141287914 17218855050552 25828282575828 34437710101104 51656565151656 103313130303312