Search a number
-
+
14022101321300 = 22521910768972461
BaseRepresentation
bin1100110000001100011001…
…0111100100011001010100
31211122111111100110101221002
43030003012113210121110
53314214230414240200
645453355303042432
72645030512443452
oct314030627443124
954574440411832
1014022101321300
114516815705486
1216a56b1440418
137a9380a8cc67
1436695d8659d2
15194b31392bd5
hexcc0c65e4654

14022101321300 has 72 divisors (see below), whose sum is σ = 32328772388640. Its totient is φ = 5263978147200.

The previous prime is 14022101321299. The next prime is 14022101321309. The reversal of 14022101321300 is 312310122041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022101321309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34282931 + ... + 34689530.

It is an arithmetic number, because the mean of its divisors is an integer number (449010727620).

Almost surely, 214022101321300 is an apocalyptic number.

14022101321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022101321300 is an abundant number, since it is smaller than the sum of its proper divisors (18306671067340).

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

14022101321300 is a wasteful number, since it uses less digits than its factorization.

14022101321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68972601 (or 68972594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14022101321300 its reverse (312310122041), we get a palindrome (14334411443341).

The spelling of 14022101321300 in words is "fourteen trillion, twenty-two billion, one hundred one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 107 190 214 380 428 475 535 950 1070 1900 2033 2140 2675 4066 5350 8132 10165 10700 20330 40660 50825 101650 203300 68972461 137944922 275889844 344862305 689724610 1310476759 1379449220 1724311525 2620953518 3448623050 5241907036 6552383795 6897246100 7380053327 13104767590 14760106654 26209535180 29520213308 32761918975 36900266635 65523837950 73800533270 131047675900 140221013213 147601066540 184501333175 280442026426 369002666350 560884052852 701105066065 738005332700 1402210132130 2804420264260 3505525330325 7011050660650 14022101321300