Search a number
-
+
1230332320300 = 2252611077012689
BaseRepresentation
bin10001111001110101100…
…001010101101000101100
311100121200222022122002211
4101321311201111220230
5130124210033222200
62341112403300204
7154613532112516
oct21716541255054
94317628278084
101230332320300
1143486557a2a6
1217a54397a664
138c034785a25
1443796b5abb6
152200caa9aba
hex11e75855a2c

1230332320300 has 144 divisors (see below), whose sum is σ = 2743876568160. Its totient is φ = 478679040000.

The previous prime is 1230332320289. The next prime is 1230332320309. The reversal of 1230332320300 is 30232330321.

It is not an unprimeable number, because it can be changed into a prime (1230332320309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457541356 + ... + 457544044.

It is an arithmetic number, because the mean of its divisors is an integer number (19054698390).

Almost surely, 21230332320300 is an apocalyptic number.

1230332320300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230332320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371938284080).

1230332320300 is an abundant number, since it is smaller than the sum of its proper divisors (1513544247860).

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

1230332320300 is a wasteful number, since it uses less digits than its factorization.

1230332320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 1230332320300 its reverse (30232330321), we get a palindrome (1260564650621).

The spelling of 1230332320300 in words is "one trillion, two hundred thirty billion, three hundred thirty-two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 107 122 214 244 305 428 535 610 701 1070 1220 1402 1525 2140 2675 2689 2804 3050 3505 5350 5378 6100 6527 7010 10700 10756 13054 13445 14020 17525 26108 26890 32635 35050 42761 53780 65270 67225 70100 75007 85522 130540 134450 150014 163175 164029 171044 213805 268900 287723 300028 326350 328058 375035 427610 575446 652700 656116 750070 820145 855220 1069025 1150892 1438615 1500140 1640290 1875175 1884989 2138050 2877230 3280580 3750350 3769978 4100725 4276100 4575427 5754460 7193075 7500700 7539956 8201450 9150854 9424945 14386150 16402900 17551103 18301708 18849890 22877135 28772300 35102206 37699780 45754270 47124725 70204412 87755515 91508540 94249450 114385675 114984329 175511030 188498900 201693823 228771350 229968658 351022060 403387646 438777575 457542700 459937316 574921645 806775292 877555150 1008469115 1149843290 1755110300 2016938230 2299686580 2874608225 4033876460 5042345575 5749216450 10084691150 11498432900 12303323203 20169382300 24606646406 49213292812 61516616015 123033232030 246066464060 307583080075 615166160150 1230332320300