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10103131330000 = 24541010313133
BaseRepresentation
bin1001001100000101000110…
…0011011101010111010000
31022202211221121000122022021
42103001101203131113100
52311012203110030000
633253151531221224
72061633004235632
oct223012143352720
938684847018267
1010103131330000
11324579427a755
12117207a2a7814
1358394b612447
1426cdcbdc0a52
15127c1401411a
hex930518dd5d0

10103131330000 has 50 divisors (see below), whose sum is σ = 24460691287274. Its totient is φ = 4041252528000.

The previous prime is 10103131329983. The next prime is 10103131330001. The reversal of 10103131330000 is 3313130101.

It can be written as a sum of positive squares in 5 ways, for example, as 4026748568976 + 6076382761024 = 2006676^2 + 2465032^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103131330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 505146567 + ... + 505166566.

Almost surely, 210103131330000 is an apocalyptic number.

10103131330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103131330000 is an abundant number, since it is smaller than the sum of its proper divisors (14357559957274).

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

10103131330000 is an equidigital number, since it uses as much as digits as its factorization.

10103131330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010313161 (or 1010313140 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10103131330000 its reverse (3313130101), we get a palindrome (10106444460101).

The spelling of 10103131330000 in words is "ten trillion, one hundred three billion, one hundred thirty-one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1010313133 2020626266 4041252532 5051565665 8082505064 10103131330 16165010128 20206262660 25257828325 40412525320 50515656650 80825050640 101031313300 126289141625 202062626600 252578283250 404125253200 505156566500 631445708125 1010313133000 1262891416250 2020626266000 2525782832500 5051565665000 10103131330000