Search a number
-
+
1310002300000 = 255513100023
BaseRepresentation
bin10011000100000010001…
…110001100010001100000
311122020100022102221100201
4103010002032030101200
5132430341042100000
62441450131354544
7163434035553022
oct23040216142140
94566308387321
101310002300000
11465629168229
12191a79152a54
13966c040b754
1447593b4a012
15241220d996a
hex1310238c460

1310002300000 has 72 divisors (see below), whose sum is σ = 3223627705872. Its totient is φ = 524000880000.

The previous prime is 1310002299941. The next prime is 1310002300007. The reversal of 1310002300000 is 32000131.

It is a super-3 number, since 3×13100023000003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1310002300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310002300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6450012 + ... + 6650011.

It is an arithmetic number, because the mean of its divisors is an integer number (44772607026).

Almost surely, 21310002300000 is an apocalyptic number.

1310002300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310002300000 is an abundant number, since it is smaller than the sum of its proper divisors (1913625405872).

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

1310002300000 is an frugal number, since it uses more digits than its factorization.

1310002300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100058 (or 13100030 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1310002300000 its reverse (32000131), we get a palindrome (1310034300131).

The spelling of 1310002300000 in words is "one trillion, three hundred ten billion, two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 13100023 26200046 52400092 65500115 104800184 131000230 209600368 262000460 327500575 419200736 524000920 655001150 1048001840 1310002300 1637502875 2096003680 2620004600 3275005750 5240009200 6550011500 8187514375 10480018400 13100023000 16375028750 26200046000 32750057500 40937571875 52400092000 65500115000 81875143750 131000230000 163750287500 262000460000 327500575000 655001150000 1310002300000