Search a number
-
+
10320200331000 = 2335374391119449
BaseRepresentation
bin1001011000101101101111…
…0111111110111011111000
31100112121020111122102021220
42112023123313332323320
52323041232241043000
633541011245232040
72113416120300150
oct226133367767370
940477214572256
1010320200331000
113319855048a4a
1211a815a262620
1359b2630038c1
14279700dc3760
1512d6bac401a0
hex962dbdfeef8

10320200331000 has 256 divisors, whose sum is σ = 36882743040000. Its totient is φ = 2353527475200.

The previous prime is 10320200330971. The next prime is 10320200331017. The reversal of 10320200331000 is 13300202301.

It is a super-2 number, since 2×103202003310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8659276 + ... + 9778724.

It is an arithmetic number, because the mean of its divisors is an integer number (144073215000).

Almost surely, 210320200331000 is an apocalyptic number.

10320200331000 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 10320200331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441371520000).

10320200331000 is an abundant number, since it is smaller than the sum of its proper divisors (26562542709000).

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

10320200331000 is a wasteful number, since it uses less digits than its factorization.

10320200331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119919 (or 1119905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10320200331000 its reverse (13300202301), we get a palindrome (10333500533301).

The spelling of 10320200331000 in words is "ten trillion, three hundred twenty billion, two hundred million, three hundred thirty-one thousand".