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10120031300000 = 2555101200313
BaseRepresentation
bin1001001101000100000011…
…0111101110100110100000
31022211110120101022001212002
42103101000313232212200
52311301311003100000
633305024520223132
72063101544511326
oct223210067564640
938743511261762
1010120031300000
113251976927306
1211753b600aaa8
135854129814ab
1426db526a1d16
151283a2a2c8d5
hex93440dee9a0

10120031300000 has 72 divisors (see below), whose sum is σ = 24903170868492. Its totient is φ = 4048012480000.

The previous prime is 10120031299997. The next prime is 10120031300017. The reversal of 10120031300000 is 313002101.

It can be written as a sum of positive squares in 6 ways, for example, as 23309584 + 10120007990416 = 4828^2 + 3181196^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50500157 + ... + 50700156.

Almost surely, 210120031300000 is an apocalyptic number.

10120031300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120031300000 is an abundant number, since it is smaller than the sum of its proper divisors (14783139568492).

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

10120031300000 is an frugal number, since it uses more digits than its factorization.

10120031300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101200348 (or 101200320 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10120031300000 its reverse (313002101), we get a palindrome (10120344302101).

The spelling of 10120031300000 in words is "ten trillion, one hundred twenty billion, thirty-one 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 101200313 202400626 404801252 506001565 809602504 1012003130 1619205008 2024006260 2530007825 3238410016 4048012520 5060015650 8096025040 10120031300 12650039125 16192050080 20240062600 25300078250 40480125200 50600156500 63250195625 80960250400 101200313000 126500391250 202400626000 253000782500 316250978125 404801252000 506001565000 632501956250 1012003130000 1265003912500 2024006260000 2530007825000 5060015650000 10120031300000