Search a number
-
+
10103132313330 = 23573713115116569
BaseRepresentation
bin1001001100000101000110…
…0111001101011011110010
31022202211221122212121011220
42103001101213031123302
52311012203333011310
633253152004245510
72061633015502530
oct223012147153362
938684848777156
1010103132313330
113245794891521
12117207a6a0896
1358394b897bb4
1426cdcc199150
15127c1415a670
hex930519cd6f2

10103132313330 has 256 divisors, whose sum is σ = 28701009469440. Its totient is φ = 2227907635200.

The previous prime is 10103132313319. The next prime is 10103132313343. The reversal of 10103132313330 is 3331323130101.

It is a self number, because there is not a number n which added to its sum of digits gives 10103132313330.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1537998286 + ... + 1538004854.

It is an arithmetic number, because the mean of its divisors is an integer number (112113318240).

Almost surely, 210103132313330 is an apocalyptic number.

10103132313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103132313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350504734720).

10103132313330 is an abundant number, since it is smaller than the sum of its proper divisors (18597877156110).

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

10103132313330 is a wasteful number, since it uses less digits than its factorization.

10103132313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 10103132313330 its reverse (3331323130101), we get a palindrome (13434455443431).

The spelling of 10103132313330 in words is "ten trillion, one hundred three billion, one hundred thirty-two million, three hundred thirteen thousand, three hundred thirty".