Search a number
-
+
1023102301300 = 2252292039173023
BaseRepresentation
bin11101110001101011010…
…01100011010001110100
310121210210202110221001221
432320311221203101310
5113230303142120200
62102001241000124
7133626300034102
oct16706551432164
93553722427057
101023102301300
11364993638892
1214634aa83044
137562a5c5b01
1437738764c72
151b92ea3291a
hexee35a63474

1023102301300 has 72 divisors (see below), whose sum is σ = 2297827929600. Its totient is φ = 394933096320.

The previous prime is 1023102301283. The next prime is 1023102301307. The reversal of 1023102301300 is 31032013201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023102301307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5826589 + ... + 5999611.

It is an arithmetic number, because the mean of its divisors is an integer number (31914276800).

Almost surely, 21023102301300 is an apocalyptic number.

1023102301300 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 1023102301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148913964800).

1023102301300 is an abundant number, since it is smaller than the sum of its proper divisors (1274725628300).

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

1023102301300 is a wasteful number, since it uses less digits than its factorization.

1023102301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175105 (or 175098 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1023102301300 its reverse (31032013201), we get a palindrome (1054134314501).

The spelling of 1023102301300 in words is "one trillion, twenty-three billion, one hundred two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2039 2900 4078 8156 10195 20390 40780 50975 59131 101950 118262 173023 203900 236524 295655 346046 591310 692092 865115 1182620 1478275 1730230 2956550 3460460 4325575 5017667 5913100 8651150 10035334 17302300 20070668 25088335 50176670 100353340 125441675 250883350 352793897 501766700 705587794 1411175588 1763969485 3527938970 7055877940 8819847425 10231023013 17639694850 20462046026 35279389700 40924092052 51155115065 102310230130 204620460260 255775575325 511551150650 1023102301300