Search a number
-
+
1321213000000 = 26561321213
BaseRepresentation
bin10011001110011110011…
…011100111100101000000
311200022021121100111122211
4103032132123213211000
5133121321012000000
62450542403511504
7164311614126415
oct23163633474500
94608247314584
101321213000000
1146a361327053
12194087688594
1397788b9874a
1447d389c610c
152457b3e87ba
hex1339e6e7940

1321213000000 has 98 divisors (see below), whose sum is σ = 3277188090518. Its totient is φ = 528484800000.

The previous prime is 1321212999973. The next prime is 1321213000021. The reversal of 1321213000000 is 3121231.

It can be written as a sum of positive squares in 7 ways, for example, as 1300585146624 + 20627853376 = 1140432^2 + 143624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 339394 + ... + 1660606.

Almost surely, 21321213000000 is an apocalyptic number.

1321213000000 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 1321213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638594045259).

1321213000000 is an abundant number, since it is smaller than the sum of its proper divisors (1955975090518).

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

1321213000000 is an frugal number, since it uses more digits than its factorization.

1321213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321255 (or 1321220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1321213000000 its reverse (3121231), we get a palindrome (1321216121231).

The spelling of 1321213000000 in words is "one trillion, three hundred twenty-one billion, two hundred thirteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1321213 2642426 5284852 6606065 10569704 13212130 21139408 26424260 33030325 42278816 52848520 66060650 84557632 105697040 132121300 165151625 211394080 264242600 330303250 422788160 528485200 660606500 825758125 1056970400 1321213000 1651516250 2113940800 2642426000 3303032500 4128790625 5284852000 6606065000 8257581250 10569704000 13212130000 16515162500 20643953125 26424260000 33030325000 41287906250 52848520000 66060650000 82575812500 132121300000 165151625000 264242600000 330303250000 660606500000 1321213000000